This page provides definitions and examples of graph properties like adjacency, vertex degrees, and types of graphs (regular, complete, bipartite). It covers subgraphs, graph complements, and duals, a...This page provides definitions and examples of graph properties like adjacency, vertex degrees, and types of graphs (regular, complete, bipartite). It covers subgraphs, graph complements, and duals, along with practice checkpoints for calculating degrees and understanding independent sets and maximum matchings. Each definition is illustrated with examples to aid in the comprehension of graph theory concepts.
This section introduces graph theory, defining graphs, vertices, and edges, and distinguishing simple graphs from multigraphs. It explores vertex classification, degrees, and various graph types like ...This section introduces graph theory, defining graphs, vertices, and edges, and distinguishing simple graphs from multigraphs. It explores vertex classification, degrees, and various graph types like complete and isomorphic graphs. Key concepts include walks, trails, paths, and graph connectivity, with applications in real-world scenarios such as Page Rank and fraud detection.
