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2. List of graph theory topics - Wikipedia

   en.wikipedia.org/wiki/List_of_graph_theory_topics

   Strongly regular graph. Threshold graph. Total graph. Tree (graph theory). Trellis (graph) Turán graph. Ultrahomogeneous graph. Vertex-transitive graph. Visibility graph.

3. Graph theory - Wikipedia

   en.wikipedia.org/wiki/Graph_theory

   A drawing of a graph. In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines ).

4. Turán's theorem - Wikipedia

   en.wikipedia.org/wiki/Turán's_theorem

   In graph theory, Turán's theorem bounds the number of edges that can be included in an undirected graph that does not have a complete subgraph of a given size. It is one of the central results of extremal graph theory, an area studying the largest or smallest graphs with given properties, and is a special case of the forbidden subgraph problem on the maximum number of edges in a graph that ...

5. Clique (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Clique_(graph_theory)

   In the mathematical area of graph theory, a clique ( / ˈkliːk / or / ˈklɪk /) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. That is, a clique of a graph is an induced subgraph of that is complete. Cliques are one of the basic concepts of graph theory and are used in many ...

6. Graph isomorphism - Wikipedia

   en.wikipedia.org/wiki/Graph_isomorphism

   Graph isomorphism is an equivalence relation on graphs and as such it partitions the class of all graphs into equivalence classes. A set of graphs isomorphic to each other is called an isomorphism class of graphs. The question of whether graph isomorphism can be determined in polynomial time is a major unsolved problem in computer science ...

7. Equivalence class - Wikipedia

   en.wikipedia.org/wiki/Equivalence_class

   An equivalence relation on a set is a binary relation on satisfying the three properties: [1] for all ( reflexivity ), implies for all ( symmetry ), if and then for all ( transitivity ). The equivalence class of an element is defined as [2] The word "class" in the term "equivalence class" may generally be considered as a synonym of "set ...

8. Algebraic graph theory - Wikipedia

   en.wikipedia.org/wiki/Algebraic_graph_theory

   Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph theory, involving the use of linear algebra, the use of group theory, and the study of graph invariants .

9. Neighbourhood (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Neighbourhood_(graph_theory)

   Neighbourhood (graph theory) In this graph, the vertices adjacent to 5 are 1, 2 and 4. The neighbourhood of 5 is the graph consisting of the vertices 1, 2, 4 and the edge connecting 1 and 2. In graph theory, an adjacent vertex of a vertex v in a graph is a vertex that is connected to v by an edge. The neighbourhood of a vertex v in a graph G is ...