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  2. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Total graph. Tree (graph theory). Trellis (graph) Turán graph. Ultrahomogeneous graph. Vertex-transitive graph. Visibility graph. Museum guard problem. Wheel graph.

  3. Tournament (graph theory) - Wikipedia

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

    In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently, a tournament is an orientation of an undirected complete graph; however, as directed graphs, tournaments are not complete: complete directed graphs have two edges, in both directions, between ...

  4. Orientation (graph theory) - Wikipedia

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

    Among directed graphs, the oriented graphs are the ones that have no 2-cycles (that is at most one of (x, y) and (y, x) may be arrows of the graph). [1] A tournament is an orientation of a complete graph. A polytree is an orientation of an undirected tree. [2] Sumner's conjecture states that every tournament with 2n – 2 vertices contains ...

  5. Turán's theorem - Wikipedia

    en.wikipedia.org/wiki/Turán's_theorem

    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 ...

  6. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    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 ). A distinction is made between undirected graphs, where edges link ...

  7. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    1. A book, book graph, or triangular book is a complete tripartite graph K1,1,n; a collection of n triangles joined at a shared edge. 2. Another type of graph, also called a book, or a quadrilateral book, is a collection of 4 -cycles joined at a shared edge; the Cartesian product of a star with an edge. 3.

  8. List of mathematical theories - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_theories

    Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Artin–Schreier theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory; Brill–Noether theory; Catastrophe theory; Category theory; Chaos theory; Character theory; Choquet theory; Class field theory; Cobordism theory; Coding ...

  9. Turn-by-turn navigation - Wikipedia

    en.wikipedia.org/wiki/Turn-by-turn_navigation

    Turn-by-turn navigation is a feature of some satellite navigation devices where directions for a selected route are continually presented to the user in the form of spoken or visual instructions. The system keeps the user up-to-date about the best route to the destination, and is often updated according to changing factors such as traffic and ...