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I. Foundations of Graph Theory

Basic definitions, vertices and edges, graph representations, degree, walks, paths, cycles, connectivity, isomorphism, subgraphs, and classes of graphs — the bedrock of graph theory.

ChapterTitle
1What Graph Theory Is
2Basic Definitions
3Vertices and Edges
4Graph Representations
5Degree of a Vertex
6Walks, Trails, and Paths
7Cycles and Circuits
8Connected Graphs
9Components
10Isomorphism
11Subgraphs
12Graph Operations
13Complement Graphs
14Graph Invariants
15Classes of Graphs