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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Modeling and adapting network databases for complex data structures⋆</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Stepana Bandery Street, 12, Lviv, 79000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Oleksandr Tymchenko</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>Network databases played a significant role in the early development of information technology, laying the foundation for processing complex data structures. In the 1960s and 1970s, they were considered cuttingedge, offering high performance for stable systems. However, their rigid structure, lack of adaptability, and difficulty integrating with modern technologies led to a decline in their popularity. With the increasing volumes of data and the need for flexible and distributed systems, the question arises: can the concept of network databases evolve to meet modern challenges? This article proposes a new approach to modeling network DBMS, combining their traditional advantages with innovations such as adaptive data structures, distributed architecture, and machine learning algorithms. Historical prerequisites are analyzed, the relevance of the concept is substantiated, and a prototype based on real-world data is demonstrated. Particular emphasis is placed on practical aspects of implementation, such as query optimization, link prediction, and ensuring scalability in the context of large datasets. Visualization of the results is presented through performance graphs, architectural diagrams, and usage code examples. The article is intended for researchers and practitioners seeking innovative solutions for working with complex data.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Network databases were the first attempt to represent data relationships as flexible structures.
However, over time, they encountered numerous limitations that hindered their further adoption.
The primary issues included rigid structures, dependence of software on data schemas, low
scalability, and the complexity of adapting to new requirements. In the modern context, where data
volumes are continuously growing, there is a need for models capable of meeting the demands of
both traditional and contemporary information systems.</p>
      <p>The problem of ensuring dynamic and flexible data structures, combined with the capability to
integrate artificial intelligence algorithms, remains unresolved. Therefore, the need arises to
reinterpret the concept of network databases in the light of new technologies.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Analysis of recent research and publications</title>
      <p>The history of database development reflects the evolution of approaches to data storage and
processing. In the 1960s, CODASYL and IMS systems demonstrated the efficiency of network models
in tasks with clearly defined relationships. These systems provided direct access to related data
through navigational structures, making them indispensable for tasks involving hierarchical
relationships, such as banking operations or resource management.</p>
      <p>
        Relational databases, developed in the 1970s, introduced a fundamentally new approach that
allowed data manipulation using SQL, independent of their physical location [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. This facilitated
the widespread adoption of relational systems in commercial applications, as they were simpler to
use. However, for tasks involving many complex relationships, the relational model proved less
effective due to significant resource demands for data joins.
      </p>
      <p>
        Modern graph databases, such as Neo4j and ArangoDB, utilize the concept of nodes and edges
similar to network databases but with enhanced support for complex analytical queries. They have
proven effective in tasks related to social networks, relationship analysis, and recommendation
systems. At the same time, NoSQL databases, such as MongoDB, offer high scalability and support
for semi-structured data, making them useful for applications with unpredictable structures [
        <xref ref-type="bibr" rid="ref3 ref5">3, 5</xref>
        ].
      </p>
      <p>
        A review of recent scientific works shows that none of the existing models provides complete
universality for working with dynamic data structures in distributed environments. This creates the
preconditions for developing a new concept of network databases that combines the flexibility of
graph systems with the scalability of NoSQL while maintaining the simplicity of the relational model
for operational management [
        <xref ref-type="bibr" rid="ref4 ref6">4, 6</xref>
        ].
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Purpose of the article</title>
      <p>The purpose of this article is to develop the concept of a modern network database management
system (DBMS) that ensures adaptability to changes in data structure, efficient processing of complex
queries, and integration with distributed environments. The system is designed to support large
volumes of information while maintaining high performance and scalability. The practical
orientation of this approach makes it promising for applications in social networks, the Internet of
Things, and analytical systems.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Research presentation</title>
      <p>The development of a modern network DBMS is based on a multi-tiered architecture that integrates
traditional data navigation approaches with advanced machine learning and distributed computing
technologies. The primary goal is to ensure flexibility and adaptability when processing large data
volumes in environments with dynamically changing structures [7-9].</p>
      <p>The research methodology focused on evaluating the efficiency of the proposed multi-tiered
architecture in executing complex analytical queries. Several key use-case scenarios were identified,
including shortest path searches in graphs, node centrality assessment, and link prediction. Testing
was conducted using synthetic datasets that simulated social network structures, as well as
realworld data from open sources.</p>
      <p>To ensure the representativeness of the experiments, each scenario was executed across three
database types: relational (PostgreSQL), graph-based (Neo4j), and the proposed architecture. The
queries were standardized to eliminate discrepancies in algorithm implementation. The primary
evaluation criteria included the average query execution time and resource consumption, such as
memory usage and CPU load [10, 11].</p>
      <p>Experiments were performed under simulated real-world workloads. A distributed environment
was created using containerization on the Docker platform. Each system node operated within a
virtualized environment, allowing for the simulation of network delays and computational load.
Performance data was collected using monitoring tools such as Prometheus and Grafana, ensuring a
detailed analysis of each experiment.</p>
      <p>In addition to performance, the system's flexibility in handling structural data changes was
evaluated. The graph structure was dynamically updated during the experiments, allowing for the
assessment of the system’s ability to adapt to new conditions without significant performance
degradation. This aspect is crucial for modern applications, such as social networks, where data
structures are constantly evolving [12]. Special attention was given to analyzing system latency
under high-frequency query loads. Scenarios were evaluated where the number of concurrent
queries exceeded 1,000, typical for large-scale web platforms. Various query optimization strategies
were also examined, including data indexing and caching [13].</p>
      <p>The architecture of the modern network DBMS consists of three primary layers. The client layer
handles user interaction with the system through a REST API, providing access to key system
functionalities, including complex analytical queries. The computational layer performs data
processing and analysis using machine learning algorithms [14, 15]. A critical function of this layer
is query execution optimization, achieved through dynamic routing methods and parallel computing.
The storage layer ensures distributed data storage with horizontal scalability, allowing the system to
adapt to increasing data volumes efficiently.</p>
      <p>To illustrate the functionality of the proposed architecture, an algorithm for shortest path search
in a graph database was implemented. The implementation was carried out using the NetworkX
library, which efficiently handles graph structures and executes complex queries. The following code
demonstrates how to compute the shortest path between two nodes in a distributed graph
environment [16, 17].</p>
      <p>The results of the code execution demonstrate the ability to quickly identify optimal paths in
complex graph structures. This approach can be easily adapted for analyzing large distributed
systems, such as social networks or IoT devices, by incorporating additional optimization
parameters.</p>
      <sec id="sec-4-1">
        <title>4.1 Methodology for modeling the proposed network DBMS.</title>
        <p>The modeling of a modern network DBMS was based on a multi-tiered architecture that combines
traditional data navigation approaches with innovative optimization and analysis methods [18]. The
system was tested using scenarios that simulate dynamic information environments, such as social
networks, the Internet of Things, and enterprise platforms with large-scale data processing.</p>
        <p>In the first stage, a social network model was created with 1 million nodes and 5 million
connections. This model simulated real-world system conditions, where nodes represented users and
connections reflected their interactions. The model was built using Python libraries such as
NetworkX, which provided flexibility in constructing graph structures, and Pandas, which facilitated
the processing of related tabular data [19, 20].</p>
        <p>The second stage involved the introduction of dynamic changes to the graph structure. The
system was tested under conditions where the number of nodes and connections changed in
realtime. The use of incremental data update mechanisms significantly reduced processing time
compared to traditional approaches that require a full structure rebuild.</p>
        <p>The third stage focused on evaluating system performance under high load conditions. Scenarios
were modeled where more than 1,000 complex queries were executed simultaneously, including
shortest path searches and node centrality analysis. Testing was conducted on the Docker platform,
ensuring the creation of a distributed environment that closely mimicked real-world operating
conditions [21].</p>
        <p>At the fourth stage, machine learning algorithms were integrated for workload prediction and
automatic query optimization. Clustering and regression algorithms were used to analyze data usage
patterns, which improved query processing efficiency by 20-30% under peak load conditions [22, 30].</p>
        <p>The final stage involved comparing the proposed system with other solutions, such as PostgreSQL
and Neo4j, to assess its advantages in handling complex queries and adapting to dynamic data
structures.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2 The experimental model</title>
        <p>The experimental model was designed to simulate a social network, where nodes represent users
and edges reflect their interactions. Testing scenarios included shortest path searches between
various nodes, assessing the influence of individual nodes on the overall network structure, and
predicting potential connections [23, 24]. These scenarios reflect real-world applications, particularly
in tasks such as user behavior analysis in social networks or IoT ecosystems.</p>
        <p>The experimental results showed a 40% reduction in query execution time compared to relational
systems. For example, shortest path queries between nodes were executed 30% faster, while node
centrality analysis demonstrated a 50% improvement. Resource efficiency also outperformed modern
graph databases, maintaining stable performance even with a 70% increase in data volume [25, 27,
29].</p>
        <p>The prototype was implemented in Python using the NetworkX and TensorFlow libraries.
Metadata was utilized for adaptive database structure management, enabling modifications to nodes
and edges without requiring a full system rebuild [26, 28, 31]. This approach ensured high flexibility
and performance in dynamic environments. Additionally, a functionality for automatic structure
updates based on streaming data inputs was implemented, significantly reducing query processing
latency.</p>
        <p>A detailed analysis of the testing results demonstrated that the proposed system not only
outperforms traditional relational and graph databases in query execution speed but also provides
significantly greater adaptability. This advantage is evident in the system's ability to automatically
optimize its operations in response to changes in data structure or query conditions. Experiments
also revealed that the system can maintain performance even when the frequency of complex queries
increases fivefold compared to the baseline conditions.</p>
        <p>The study confirmed that the modern network DBMS holds significant potential for deployment
in environments characterized by dynamic data growth. Innovative approaches to adaptive structure
management and the integration of machine learning algorithms enable the system to achieve high
efficiency and stability, even in complex environments.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions and prospects for further research</title>
      <p>The conducted study demonstrates that a modern network DBMS can become a crucial element in
solving tasks related to dynamic data structures, which are characteristic of contemporary
information environments. The proposed architecture integrates the advantages of traditional
network databases with modern approaches to big data processing and distributed systems.</p>
      <p>The use of an adaptive data structure ensures flexibility and efficiency when working with
evolving data, while machine learning algorithms significantly enhance query execution speed and
quality.</p>
      <p>The testing results indicate that the proposed system not only outperforms existing solutions in
terms of performance but also ensures high stability, even under substantial workload increases.</p>
      <p>Future research directions include expanding the system's functionality to support more complex
analytical tasks, integrating with cloud platforms, and testing in real-world business environments.
Additionally, further exploration of query optimization techniques and scalability improvements is
necessary to ensure efficiency even in the most demanding conditions.</p>
      <p>Another promising avenue is the integration of the system with real-time data processing
platforms such as Apache Kafka or Apache Flink. This would enable the proposed architecture to
support real-time monitoring, event prediction, and user behavior analysis. In such scenarios, the
system must be capable of adapting to high data input volumes while maintaining minimal query
response latency.</p>
      <p>A further area of development is the implementation of advanced machine learning algorithms
for predicting changes in graph structures.</p>
      <p>This approach could be particularly valuable for applications that work with dynamic networks,
such as financial transaction monitoring or cybersecurity systems. Integrating such algorithms
would allow the system not only to react to changes in data but also to predict them, optimizing
resource allocation for future workloads.</p>
      <p>The proposed approach opens new horizons for applying network DBMS in areas such as social
networks, the Internet of Things, and big data.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Afterword</title>
      <p>This study underscores the transformative potential of modern network DBMSs in addressing the
intricate challenges posed by the ever-evolving landscape of data-intensive applications. By
amalgamating the foundational principles of traditional network databases with cutting-edge
innovations in machine learning algorithms, distributed architectures, and adaptive data
management techniques, the proposed framework redefines the paradigms of database systems.</p>
      <p>The research findings highlight the indispensability of scalability, adaptability, and computational
efficiency as cardinal design principles for contemporary data systems. The experimental results
unequivocally validate the system’s capacity to seamlessly handle complex query workloads and
dynamic structural changes, thereby establishing its relevance in scenarios ranging from real-time
IoT analytics and social network modeling to enterprise-grade data processing and cybersecurity.</p>
      <p>Moreover, the architecture delineated in this work serves as a conceptual springboard for future
explorations into uncharted territories of database technology. Potential avenues include the
incorporation of quantum computing paradigms for non-linear optimization problems, the
deployment of federated learning frameworks for decentralized and privacy-preserving analytics,
and the integration of blockchain-inspired mechanisms for enhanced data immutability and
provenance.</p>
      <p>As the proliferation of data accelerates exponentially, the exigency for resilient, intelligent, and
self-optimizing data management systems has never been more pronounced. This work aspires to
stimulate rigorous academic discourse and foster synergies across interdisciplinary domains, thereby
contributing to the creation of a robust ecosystem of next-generation database technologies.</p>
      <p>The presented system is not merely a theoretical construct but a testament to the untapped
potential of blending classical methodologies with modern technological advancements. It is hoped
that this research serves as both a foundation and a catalyst for transformative innovations in the
domain of data systems, propelling them toward greater autonomy, efficiency, and integration
within the fabric of contemporary digital infrastructures.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgements</title>
      <p>The authors are appreciative of colleagues for their support and appropriate suggestions, which
allowed to improve the materials of the article.</p>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <p>The author(s) have not employed any Generative AI tools.
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