Network science has emerged as a powerful interdisciplinary field that provides tools to analyze complex systems represented as networks. A network consists of nodes (or vertices) and edges (or links) that connect them, capturing relationships in systems ranging from social interactions and biological systems to transportation and communication infrastructures. Understanding the structural and functional characteristics of these networks requires the study of network properties and measures, which quantify patterns, behaviors, and dynamics within interconnected systems. One of the most fundamental properties of a network is its degree distribution , which describes how connections are distributed among nodes. The degree of a node refers to the number of edges connected to it. In many real-world networks, such as social or internet networks, degree distribution follows a power-law pattern, indicating the presence of a few highly connected nodes (hubs) and many nodes with fewer connecti...
Introduction In the era of interconnected systems, understanding how networks function has become essential across disciplines such as computer science, sociology, biology, and engineering. Two fundamental concepts in network science—centrality measures and network flow analysis—play a critical role in analyzing the structure and dynamics of networks. Centrality measures help identify the most important or influential nodes within a network, while network flow analysis examines how resources, information, or materials move through the network. Together, these concepts provide powerful tools for optimizing performance, enhancing resilience, and uncovering hidden patterns in complex systems. Understanding Centrality Measures Centrality measures are quantitative metrics used to determine the importance of nodes in a network. Different centrality measures capture different aspects of importance, depending on the structure and purpose of the network. Degree centrality, one of the s...