Exploring the Role of Graph Theory in Analyzing Modern Network Structures

1. Introduction 1.1 Background and Motivation 1.2 Research Objectives 1.3 Structure of the Thesis 2. Fundamentals of Graph Theory 2.1 Basic Concepts and Definitions 2.2 Types of Graphs 2.3 Graph Algorithms 3. Network Structures in the Modern Context 3.1 Overview of Network Structures 3.2 Characteristics of Modern Networks 3.3 Examples of Modern Networks 4. Graph Theory Applications in Network Analysis 4.1 Network Modeling with Graphs 4.2 Graph-Based Algorithms for Networks 4.3 Case Studies 5. Social Networks and Graph Analysis 5.1 Structure of Social Graphs 5.2 Community Detection Algorithms 5.3 Influence and Spreading Models 6. Technological Networks and Graphs 6.1 Communication Networks 6.2 Internet Topology Analysis 6.3 Assessing Network Robustness 7. Challenges and Limitations 7.1 Computational Complexity Issues 7.2 Scalability of Graph Algorithms 7.3 Data Accuracy and Representation 8. Conclusion 8.1 Summary of Findings 8.2 Implications for Future Research 8.3 Final Remarks