In mathematics, computer science, and network science, network theory is a part of graph theory. It defines networks as graphs where the vertices or edges possess attributes.

Introduction to Network Theory What is a Network? Network = graph Informally a graph is a set of nodes joined by a set of lines or arrows.

Types of Networks in the Real World A network is a set of units (nodes or vertices) connected by relationships (links or edges). Types of networks: Social and economic networks: nodes are …

Graph s and networks are powerful tools for representing connections or relationships between objects or people. They belong to a branch of mathematics called graph theory which is quite …

Aug 21, 2024 · Explore the essentials of graph theory with this beginner's guide. Learn about vertices, edges, and various graph types to understand complex networks and applications.

At its core, network analysis leverages graph theory, which models networks as graphs composed of nodes (representing entities) and edges (representing connections between entities).

A map of these nodes and edges is a Network (or a Graph). To study a system or interactions therein, one may use analyses and models of Network theory, or Graph theory.

Apr 12, 2025 · Graph theory plays a crucial role in understanding and analyzing network topologies, offering powerful tools to model, analyze, and optimize complex systems.

Next, it examines pivotal applications, illustrating how graph-based techniques facilitate tasks like influencer detection in social media, energy-efficient routing in communication networks, and …

Sep 15, 2025 · Learn how to explore graphs systematically using DFS, BFS, and topological sorting. Focuses on hierarchical graph structures, spanning trees, traversals, and coding …