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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. Treatment and Education of Autistic and Related Communication ...

    en.wikipedia.org/wiki/Treatment_and_Education_of...

    The Treatment and Education of Autistic and Related Communication Handicapped Children (TEACCH) philosophy recognizes autism as a lifelong condition and does not aim to cure but to respond to autism as a culture. [2] Core tenets of the TEACCH philosophy include an understanding of the effects of autism on individuals; use of assessment to ...

  4. 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 ).

  5. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    Two views of the utility graph, also known as the Thomsen graph or. The classical mathematical puzzle known as the three utilities problem or sometimes water, gas and electricity asks for non-crossing connections to be drawn between three houses and three utility companies in the plane. When posing it in the early 20th century, Henry Dudeney ...

  6. 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 .

  7. Digraph realization problem - Wikipedia

    en.wikipedia.org/wiki/Digraph_realization_problem

    Digraph realization problem. The digraph realization problem is a decision problem in graph theory. Given pairs of nonnegative integers , the problem asks whether there is a labeled simple directed graph such that each vertex has indegree and outdegree .

  8. Tree (graph theory) - Wikipedia

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

    v − 1. Chromatic number. 2 if v > 1. Table of graphs and parameters. In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph. [ 1] A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently ...

  9. Graph isomorphism - Wikipedia

    en.wikipedia.org/wiki/Graph_isomorphism

    Graph isomorphism. In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H. such that any two vertices u and v of G are adjacent in G if and only if and are adjacent in H. This kind of bijection is commonly described as "edge-preserving bijection", in accordance with the general notion of isomorphism ...