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Graph theory has 5 categories.

Topological graph theory
Trees (structure)

Graph theory has 77 articles.

Abstract semantic graph	Adjacency list	Adjacency matrix
Admittance matrix	Augmenting path	Betti number
Betweenness	Bottleneck traveling salesman problem	Centrality
Circuit Rank	Clique (graph theory)	Clique problem
Closeness (graph theory)	Clustering coefficient	Cograph
Col game	Complement (graph theory)	Connected component (graph theory)
Critical graph	Crossing number	Degree (graph theory)
Degree (mathematics)	Degree matrix	Discrete Laplace operator
Distance (graph theory)	Erdös-Faber-Lovász conjecture	Erdös-Gyárfás conjecture
Eulerian path	Extremal graph theory	Genus (mathematics)
Glossary of graph theory	Graph (data structure)	Graph (mathematics)
Graph coloring	Graph drawing	Graph homomorphism
Graph rewriting	Graph theory	Hamiltonian path
Hamiltonian path problem	Homeomorphism (graph theory)	Hypergraph
Incidence matrix	Independent set	Independent set problem
Inverse graph	K-minimum spanning tree	Level structure
Levi graph	List of graph theory topics	Matching
Max flow min cut theorem	Minimum spanning tree	Minor (graph theory)
Net flow	Network	Network analysis
Network flow	Open Shortest Path First	Path (graph theory)
Perfect matching	Reconstruction conjecture	Robertson-Seymour theorem
Rooted product (graph theory)	Route inspection problem	Seven Bridges of Königsberg
Shortest path problem	Small-world network	Snark (graph theory)
Spanning tree (mathematics)	Steiner points	Steiner tree
Subgraph isomorphism problem	Symmetric graph	Traveling salesman problem
Vickrey-Clarke-Groves	Visibility graph

Categories: Combinatorics | Mathematics