Graph Theory

Graph Theory

Graph Theory | Network Encyclopedia

What is Graph Theory?

Graph Theory is the mathematical study of graphs, structures that model relationships between pairs of objects. Graphs are composed of nodes (vertices), representing entities, and edges (links), representing the connections or interactions between them.

Graph theory provides the foundation for network science and enables analysis of complex systems such as social networks, biological systems, and infrastructure networks. An understanding of graph theory is valuable for those engaged in social network analysis.

An Example of Graph Theory

In a network of nonprofit organizations working together, each nonprofit can be represented as a node, and their partnerships as edges. By applying graph theory, the network can be analyzed for clusters of collaboration, highly connected organizations, or bottlenecks in communication. 

Applications of Graph Theory

Graph theory helps uncover network properties like connectivity, centrality, and clustering. Organizations can use graph theory insights to improve collaboration, predict behaviors, or design more efficient systems.


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