<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Comparison of Methods for Identifying the Priority Hierarchy of Influencing Factors</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Orest</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Khamula</string-name>
          <email>khamula@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svitlana</string-name>
          <email>svitlanavasyta@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vasiuta</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Oleksandr Tymchenko</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Ukrainian Academy of Printing</institution>
          ,
          <addr-line>Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>University of Warmia and Mazury Olsztyn</institution>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>This article is a continuation of our research on the identification of factors that affect the visualization of data and the use of infographics. The modern world, and especially its various processes, are changing rapidly. A person needs to perceive more information in a shorter time. Therefore, it is important to study the process of information perception, which should be presented in a clear form and effectively convey the thoughts and ideas of the authors. The large number of factors influencing the process and the complexity of the relationship between them, and consequently the small amount of objective source information do not allow to find the optimal solution. Based on the selected factors, the experts constructed a dependency graph of relationships between them and performed calculations, which were used to build and determine the priority of the factors and the interdependence between them. The analytic hierarchy process and ranking method were used in this work to calculate and determine the priority of factors influencing the compositional design of infographics with elements of visual communication. Six hierarchy levels of the multilevel model of weight values of influencing factors were obtained using the ranking method. In contrast, by using the analytic hierarchy process, only four levels were obtained. After optimizing the model of the hierarchy of factors influencing the design of infographics with elements of visual communication, five levels were obtained. These calculations showed that, in this case, the ranking method was more significant for the relationships and influences between the factors.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Infographics</kwd>
        <kwd>Data Visualization</kwd>
        <kwd>Influencing Factors</kwd>
        <kwd>Dependency Graph</kwd>
        <kwd>Model</kwd>
        <kwd>the Analytic Hierarchy Process</kwd>
        <kwd>Ranking Method</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The importance and significance of information in the modern world should not be
underestimated, especially during information warfare. The timeliness of its reception and instant
processing allows reacting faster or taking appropriate actions. Of course, the information is diverse
and has a different purpose. It can be narrative, present some material in numerical values, or in the
form of specific comparisons. The more extensive information flow with certain numerical values, the
more difficult it becomes to comprehend at once. It takes some time to perceive and understand it. In
such cases, infographics allow visualizing and presenting the information in a more understandable
format for perception.</p>
      <p>
        Research on what infographics and their varieties are currently are in some way represented. Thus,
in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], the author provides information about the importance of infographics and their presentation. In
our previous work [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], we also provided specific options for information design and areas where it
can be used. A meaningful study [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] is the analysis of four key elements of information visualization
— text, images, data, and interaction. This study reveals the impact between these elements and the
possibility of using the results obtained in learning using the latest technologies. Publications related
to infographics can be divided into three groups: the first is devoted to the processes related to human
perception and understanding of information [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ]; the next group of publications is devoted to
methods of reproduction and implementation of infographics [
        <xref ref-type="bibr" rid="ref6">6, 7</xref>
        ]; the last group of works considers
the question of what data shall be used to create infographics [8, 9]. Of course, this is not a complete
list of materials that reveal the nature and purpose of the use of infographics.
      </p>
      <p>All reviewed materials of the conducted research help to understand the need to address the issue
of information perception and its presentation in a clear and comprehensible format. Based on the
number of publications, it can be noted that this issue is quite actual. In turn, it can be argued that
infographics and data visualization is a rather complex process that is influenced by a number of
factors, both external and internal. This issue, as literature research has shown, is currently
insufficiently explored.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Methods for identifying the priority hierarchy of influencing factors,</title>
    </sec>
    <sec id="sec-3">
      <title>Literature review</title>
      <p>To study the influence processes of external and internal factors on the creation and use of
infographics, namely the identification of essential parameters in the choice of infographics and data
visualization, it was proposed to use methods used in the study of processes. The parameters of these
processes cannot be represented in numbers. There are many methods. In this paper, two widely used
methods are analyzed — the hierarchy analysis and the method of ranking factors. These two methods
have proven themselves in practice.</p>
      <p>А. The analytic hierarchy process</p>
      <p>The analytic hierarchy process was proposed by the American mathematician T. Saaty. This
method is based on pairwise comparisons of factors that were identified with a high priority in a
particular process. Based on this, the priority of decisions is determined. T. Saaty proposed to use the
so-called pairwise comparison scale to present the results of estimates in quantitative terms. By using
this scale, participants conduct a comparison of the relationship among the factors, the influence of
one on another. At the same time, we are not interested in the absence of physical or objective units of
measurement. The main advantage of this method is that it is dimensionless. It allows ignoring the
question of equating the values of criteria or factors to the same units of measurement. The legitimacy
of the use of this scale has been repeatedly proven theoretically as well as practically.</p>
      <p>Among the research devoted to the use of the analytic hierarchy process are a number of
meaningful works. Thus, in [10], a comprehensive study was conducted to analyze the reliability of
complex systems with common causes of failure and mixed uncertainty. The importance and
sensitivity of different components types and their impact on system reliability were revealed. In turn,
the work [11] was also devoted to calculating the system's reliability. The results showed that the
proposed method allows to effectively describe the change in system behavior and obtain its
reliability by calculating the proposed model. An interesting study that uses hierarchy analysis is
research [12], which presents an improved method of early risk prevention to identify food safety.
This study shows that the proposed method allows to scientifically and reasonably determine the level
of information about the level of risk and provides risk management to effectively reduce risk losses
of the country through appropriate quality control departments.</p>
      <p>В. The method of ranking factors</p>
      <p>The need to anticipate certain situations or processes, as well as to determine the prospects of
specific decisions, prompted the development and improvement of forecasting. The vast majority of
processes are related to the lack or limitation of initial information required to make a specific
forecast. This situation has led to the development and improvement of forecasting methods based on
expert assessments. Expert assessment methods (heuristic methods) have developed especially in
recent decades. The method of collective expert assessment attracts special attention. This method is
based on the hypothesis that the experts selected for the survey have the appropriate knowledge and
ability to choose the most optimal factors (parameters) from the alternatives. This survey is conducted
in the form of questionnaires, where experts provide the answers. All these surveys are conducted
anonymously, rejecting the collective component in solving a particular process.</p>
      <p>In these questionnaires, experts are given the opportunity to evaluate the relative importance of
certain factors (parameters) on a 100-point scale. Zero is given to factors that, according to experts, do
not affect the process, respectively, 100 points are given to the most important factor. Some factors
may have the same number of points. After agreeing on the importance of factors, the next step is to
conduct specific calculations, which will be described in the practical part of our article. Multicriteria
analysis usually offers a quantitative approach to facilitate decision-making by ranking alternatives.
However, when evaluating the importance of criteria and the adequacy of each alternative to each
criterion, uncertainty may arise due to two factors. First, expert responses are usually expressed in
linguistic terms that do not have a unique quantitative assessment. Second, there may be uncertainty
about the answer. Most multicriteria procedures combine fuzzy numbers and linguistic scales to deal
with the first factor but underestimate confidence issues.</p>
      <p>The studies on the use of the ranking method are also quite noteworthy. The results obtained in
[13] show that this ranking method helps decision-makers choose the most reliable alternative since it
is possible to eliminate significant differences in the rating with and without uncertainty. The authors
state that this method shows great accuracy in modeling uncertain opinions and providing more useful
and additional information to better facilitate decision-making. In [14, 15], it is shown that new
ranking methods are developed and created for the convenience of calculation and its flexibility. It is
indicated that the choice of method has a significant impact on the rating of influencing factors,
identifying procedures that offer similar results or differ significantly in terms of the recommended
procedure. Another study that indicates the importance of using the ranking method in research of this
type is [16]. It is dedicated to the ranking of goods based on online reviews to support consumer
decisions to buy online. The study considers the process of combining information for product rating.
It consists of three stages: the selection of product characteristics, mood analysis, and product rating.</p>
      <p>Based on the review, each method has its aspects and advantages. Therefore, our study compares
two methods when deciding which one is more convenient. The calculations are carried out in the
study of the data visualization process in infographics to identify the priority hierarchy of influencing
factors.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Prioritization of factors influencing the process of data visualization in infographics</title>
      <p>Successful visualization or presentation of data in infographics is a rather complex process, not yet
fully studied. It is known that the person receives 90% of information through sight and 10% through
other senses. It raises the issue of creating a clear infographic that will make it easier to understand
and comprehend. Currently, it is one of the best visual tools used to attract and retain attention, and an
effective presentation of various data. By using infographics, the relevant content can be properly
dosed — by combining text with graphics.</p>
      <p>A certain array of data can be visualized differently. It can be represented as tables with numerical
values, demographic information, web statistics, and many other forms. However, there is an issue
regarding the presentation of this information qualitatively since it must be displayed as accurately
and clearly as possible. Based on the literature analysis, there is a limited amount of data on when and
what type of data visualization should be proposed and what factors affect it.</p>
      <p>
        Students, teachers, and our graduates who work in the field of advertising and IT were surveyed to
determine the factors that affect the visualization of data in the infographics. From the study [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], it
was obtained a list of the most significant factors influencing the presentation of data visualization in
infographics. For better clarity, each factor will be assigned a number:
h1 – text (T);
h2 – numerical data (ND);
h3 – graphs and charts (GC);
h4 – flowcharts (FC);
h5 – image (IM);
h6 – icons (IC).
      </p>
      <p>After receiving the given information on the quantity, weight, and influence of one factor on
another, it is necessary to construct the initial graph (see Figure 1) for our further research.</p>
      <p>The obtained initial graph is the basis for our further calculations considering the use of the
proposed methods to determine the priority of factors influencing the process of data visualization in
infographics.
3.1.</p>
    </sec>
    <sec id="sec-5">
      <title>The Analytic Hierarchy Process</title>
      <p>
        The method is based on the construction of binary matrices of dependencies and reachability
among factors and the subsequent definition of a certain level of the hierarchy of priority action of
factors [17]. Since this method and the optimization of the model of factors influencing the process of
presenting data visualization in the infographics were thoroughly described in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], our study will
focus only on the results obtained using this method.
      </p>
      <p>According to the calculations, the following optimized hierarchical model of priorities of factors
influencing data visualization in infographics is obtained (see Figure 1).</p>
      <p>According to the obtained model, the factors influencing the process of presenting data
visualization in infographics are divided into 5 levels. Icons are the most important factor, then
numerical data, graphs and charts, and text. There are two factors of the least level of importance:
flowcharts and graphs. From the obtained results, it can be noted that it is necessary to choose icons
when starting the process of information visualization in infographics. It, in turn, will help with the
identification and unification of information blocks, drawings, and diagrams.
3.2.</p>
    </sec>
    <sec id="sec-6">
      <title>The Method of Ranking Factors</title>
      <p>The initial graph (see Figure 1) is the basis for the implementation of the ranking method, as well
as for the analytic hierarchy process. The partial graphical models (hierarchy tree structures) are built
based on the obtained initial graph of relationships among influencing factors (see Figure 1 and
Figure 1). The models will reflect the hierarchy of influences or dependencies between these factors.
Each partial graphical model will become an information input base of numerical parameters for the
possibility of obtaining quantitative parameters of these factors and establishing their ranks. When
constructing hierarchical trees, both direct and indirect (have their influence due to another factor)
types of influences (see Figure 1) should be considered. It is also necessary to construct direct and
indirect dependencies (see Figure 1).
infographics</p>
      <p>A modified scheme of relationships among factors in Table 1 is built based on the obtained graph
of relationships among factors influencing the data visualization process in the infographics (see
Figure 1). The table shows the factor number and the direction of direct influence of each factor with
the way of dependence on other factors.</p>
      <p>First, it is necessary to calculate the total weight values of direct and indirect influences of factors
and their integral dependences on other factors. To do this, let's introduce the following notation: gij –
is the number of influences (і = 1 – direct, і = 2 – indirect) and dependencies (і = 3 – direct; і = 4 –
indirect) for jth factor (j= 1, ..., n); assuming that wi – is the weight of the ith type, we obtain: w1 = 10,
w2 = 5, w3 = -10, w4 = -5 respectively, conventional units.</p>
      <p>The total weights, in turn, are denoted by Kij. According to the graph theory, by fulfilling the
requirements of usage, we obtain the following calculation formulas:</p>
      <p>Kij = gijwi (i=1, 2, 3, 4; j= 1, …, n) (1)
where n – is the factor number.</p>
      <p>The obtained initial graph of relationships between factors (fig. 1) can be considered as a certain
semantic network, based on formula (1) we obtain the following equality:
4</p>
      <p>6</p>
      <p>For our calculations, the following is accepted - in case of the absence of a certain factor of one of
the listed relationships types, the corresponding value of gij in the equality (2) will take the value of
zero. By using this formula, we can calculate the weight values of the ranking of factors, taking into
account the different types of relationships between them (Table 1).</p>
      <p>To build the table of a modified scheme of relationships among factors, in the column "directions
of influence," let's choose direct influences for each factor. The number of direct influences is fixed
by the coefficient g1k.</p>
      <p>The column "dependency paths" allows to obtain the coefficients g3k, and the combined use of
indirect influences of the factor or its dependencies allows to obtain the coefficients g2k and g4k.</p>
      <p>It should also be noted that the values of g3k and g4k are taken as  0 according to the given initial
conditions w3  0, w4  0. Accordingly, to reduce the total weight values, formula 2 takes the
following form:
 
= ∑
∑     + 
| 3 | + 
| 4 |.</p>
      <p>From the obtained results, max |K3j| = 40, max |K4j| = 15 (see Table 1), let's sum these two values
and add them to the sum of the values K1j, K2j, K3j, K4j.</p>
      <p>After performing this calculation, we obtain the value of KFj – the basis for establishing the rank of
factors, and accordingly the level of priority of the impact on the process of data visualization in the
infographics.</p>
      <p>After obtaining the values shown in Table 1, the next step is to build a multilevel model of the
weight values of the influencing factors on the process of data visualization in the infographics. (see
Figure 1):</p>
    </sec>
    <sec id="sec-7">
      <title>4. The results of a comparison of methods for identifying the priority of influencing factors</title>
      <p>As a result of our calculations, we obtained the weight values of the factors influencing the process
of data visualization in the infographics by the method of ranking factors expressed by numerical
values. According to the obtained results, the distribution of influencing factors at six levels of
importance was obtained.</p>
      <p>As in the previous case, the most important factor was the factor responsible for the choice of
icons. Based on this, it is necessary to choose icons when starting the process of information
visualization in infographics. It, in turn, will help with the identification and unification of
information blocks, drawings, and diagrams.</p>
      <p>Numerical data, respectively, are as subsequent in terms of importance. It should also be noted that
by using this method, the factors of graphs and charts, and text have changed places by weight. Based
on the calculations, according to the ranking method, the text factor has become more important.
Flowcharts are on the least level of importance.</p>
      <p>This method, in our opinion, and based on the results obtained, allows identifying hidden
relationships between these factors.</p>
    </sec>
    <sec id="sec-8">
      <title>5. Conclusions</title>
      <p>During the practical part of our research, namely identifying the importance of influencing factors
in the process of data visualization in the infographics, two widely used methods were used in this
work, such as the analytic hierarchy process and the ranking method.</p>
      <p>With the help of expert surveys, the influencing factors on the data visualization in the
infographics were identified.</p>
      <p>Among which the most important are highlighted, namely: h1 – text (T); h2 – numerical data (ND);
h3 – graphs and charts (GC); h4 – flowcharts (FC); h5 – image (IM); h6 – icons (IC). The model of
influencing factors on the data visualization in the infographics is synthesized by constructing an
initial graph of relationships among the selected factors.</p>
      <p>Based on the calculations, using two methods, the levels of priority of the influencing factors on
the process of data visualization in the infographics are established. The ranking method showed the
distribution of factors at 6 priority levels, and the analytic hierarchy process showed the distribution at
5 priority levels.</p>
      <p>The study results are presented in the form of multilevel models of weight values of influencing
factors. As a result of comparing the obtained calculations, it can be stated that in determining the
importance of influencing factors on the data visualization in the infographics, the analytic hierarchy
process is inexpedient in use since it does not take into account indirect influences and dependencies,
which give preference to one factor over another, and allows the placement of factors on the same
level of priority.</p>
      <p>By obtaining the study results using two methods, it can be noted that the main advantage of
infographics — is to turn uninteresting, incomprehensible information into a graphically structured
model, with which every person can understand the content and basic idea of infographics.</p>
      <p>Clearly, the artistic aspect of infographics has to be mentioned as well. Studies show that
important aesthetic aspects of infographics are using a single font style, the compatible color
combination, and the skillful arrangement of infographics elements.</p>
      <p>Using well-known learning icons, the effect of memorization and motivation to learn specific
information on a specific topic, presented in the style of infographics can be enhanced.</p>
      <p>Therefore, following these rules when preparing infographics will help ensure a high-quality
product to achieve the goal.</p>
    </sec>
    <sec id="sec-9">
      <title>6. Acknowledgments</title>
      <p>The authors are appreciative to the large audience of students and teachers who contributed to the
research and identification of important factors influencing the choice and creation of infographics, as
well as to colleagues for their valuable advice, which allowed improving the quality and enhancing
the article`s materials.</p>
    </sec>
    <sec id="sec-10">
      <title>7. References</title>
      <p>[7] A. Moraes, B. Rodrigues, G. Diniz, J. Barbosa, H. Côrtes, V. Lopes, S. Diniz, J. Barbosa. What
questions reveal about novices’ attempts to make sense of data visualizations: Patterns and
misconceptions. Computers &amp; Graphics, 94 (2021) 32-42. doi:10.1016/j.cag.2020.09.015.
[8] AM. Rodrigues, GD. Barbosa, H. Lopes, SD. Barbosa. Comparing the effectiveness of
visualizations of different data distributions. In: Proceedings of the 32nd SIBGRAPI conference
on graphics, patterns and images (SIBGRAPI), (2019) 84–91.
doi:10.1109/SIBGRAPI.2019.00020.
[9] B. Pinaud, J. Vallet, G. Melançon. On visualization techniques comparison for large social
networks overview: A user experiment. Visual Informatics. 4 4 23-34.
doi:10.1016/j.visinf.2020.09.005.
[10] J. Mi, N. Lu, Y.-F. Li, H.-Z. Huang, L. Bai. An evidential network-based hierarchical method
for system reliability analysis with common cause failures and mixed uncertainties. Reliability
Engineering &amp; System Safety, 220, 108295. doi:10.1016/j.ress.2021.108295.
[11] Y. Chen, Y. Yi Li, R. Kang, M. Ali. Reliability analysis of PMS with failure mechanism
accumulation rules and a hierarchical method. Reliability Engineering &amp; System Safety, 197
(2020) 106774. doi:10.1016/j.ress.2019.106774.
[12] B. Ma, Y. Han, S. Cui, Z. Geng, H. Li, C. Chu. Risk early warning and control of food safety
based on an improved analytic hierarchy process integrating quality control analysis method.</p>
      <p>Food Control, 108 (2020) 106824. doi:10.1016/j.foodcont.2019.106824.
[13] M. Juanpera, B. Domenech, L. Ferrer-Martí, A. García-Villoria, R. Pastor. Methodology for
integrated multicriteria decision-making with uncertainty: Extending the compromise ranking
method for uncertain evaluation of alternatives. Fuzzy Sets and Systems. Available online 17
August 2021. doi:10.1016/j.fss.2021.08.008.
[14] O. Apaydın, Z. Aladağ. Ranking the evaluation criteria of Hi-Fi audio systems and constricted
information space: A novel method for determining the DEMATEL threshold value. Applied
Acoustics. 190 (2022) 108584. doi:10.1016/j.apacoust.2021.108584.
[15] A. Labijak-Kowalska, M. Kadziński. Experimental comparison of results provided by ranking
methods in Data Envelopment Analysis. Expert Systems with Applications, 173 (2021) 114739.
doi:10.1016/j.eswa.2021.114739.
[16] Z.-P. Fan, G.-M. Li, Y. Liu. Processes and methods of information fusion for ranking products
based on online reviews: An overview. Information Fusion, 60 87-97.
doi:10.1016/j.inffus.2020.02.007.
[17] O. Tymchenko, S. Vasiuta, O. Khamula, A. Konyukhov, O. Sosnovska, M. Dudzik. Synthesis of
Factors Model of Data Visualization in the Infographics. 2019 IEEE International
ScientificPractical Conference Problems of Infocommunications Science and Technology PIC S&amp;T’2019:
Conference Proceedings. Volume 2. (October 8-11, 2019, Kyiv, Ukraine). Kyiv, (2019) 451-454.
doi:10.1109/PICST47496.2019.9061304.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>O. V.</given-names>
            <surname>Gudyma</surname>
          </string-name>
          .
          <article-title>Infohrafіka: navchalnyi posіbnyk, Chernіvtsі: Chernіvetskyi nat</article-title>
          . un-t.,
          <year>2017</year>
          , 107 p.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>O.</given-names>
            <surname>Tymchenko</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Kunanets</surname>
          </string-name>
          ,
          <string-name>
            <given-names>O.</given-names>
            <surname>Khamula</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Vasiuta</surname>
          </string-name>
          ,
          <string-name>
            <given-names>O.</given-names>
            <surname>Sosnovska</surname>
          </string-name>
          .
          <article-title>Synthesis and research of a model of factors of infographics compositional design with elements of visual communication</article-title>
          .
          <source>Proceedings of the 2nd International Workshop on Intelligent Information Technologies &amp; Systems of Information Security with CEUR-WS Khmelnytskyi, Ukraine, March</source>
          <volume>24</volume>
          -
          <fpage>26</fpage>
          (
          <year>2021</year>
          )
          <fpage>303</fpage>
          -
          <lpage>322</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>M.</given-names>
            <surname>Sorapure</surname>
          </string-name>
          . Text, Image, Data,
          <source>Interaction: Understanding Information Visualization. Computers and Composition</source>
          .
          <volume>54</volume>
          (
          <year>2019</year>
          )
          <article-title>10251</article-title>
          . doi:
          <volume>10</volume>
          .1016/j.compcom.
          <year>2019</year>
          .
          <volume>102519</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>I.</given-names>
            <surname>Tollis</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Kakoulis</surname>
          </string-name>
          .
          <article-title>Algorithms for visualizing phylogenetic networks</article-title>
          .
          <source>Theoretical Computer Science</source>
          ,
          <volume>835</volume>
          (
          <year>2020</year>
          )
          <fpage>31</fpage>
          -
          <lpage>43</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.tcs.
          <year>2020</year>
          .
          <volume>05</volume>
          .047.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>M.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>B.</given-names>
            <surname>Yuan</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. A.</given-names>
            <surname>Kirschner</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. W.</given-names>
            <surname>Kushniruk</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Peng</surname>
          </string-name>
          .
          <article-title>Reflective learning with complex problems in a visualization-based learning environment with expert support</article-title>
          .
          <source>Computers in Human Behavior</source>
          .
          <volume>87</volume>
          (
          <year>2018</year>
          )
          <fpage>406</fpage>
          -
          <lpage>415</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.chb.
          <year>2018</year>
          .
          <volume>01</volume>
          .025.
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          <article-title>[6] SH</article-title>
          .
          <string-name>
            <surname>Cheing</surname>
            , Si Yain-Whar,
            <given-names>R. K.</given-names>
          </string-name>
          <string-name>
            <surname>Wong</surname>
          </string-name>
          .
          <article-title>Online force-directed algorithms for visualization of dynamic graphs</article-title>
          .
          <source>Information Sciences</source>
          ,
          <volume>556</volume>
          (
          <year>2021</year>
          )
          <fpage>223</fpage>
          -
          <lpage>255</lpage>
          . doi:
          <volume>10</volume>
          .1016/j.ins.
          <year>2020</year>
          .
          <volume>12</volume>
          .069.
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>