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  2. Multipartite graph - Wikipedia

    en.wikipedia.org/wiki/Multipartite_graph

    In graph theory, a part of mathematics, a k-partite graph is a graph whose vertices are (or can be) partitioned into k different independent sets. Equivalently, it is a graph that can be colored with k colors, so that no two endpoints of an edge have the same color. When k = 2 these are the bipartite graphs, and when k = 3 they are called the ...

  3. Complete bipartite graph - Wikipedia

    en.wikipedia.org/wiki/Complete_bipartite_graph

    A complete bipartite graph of K 4,7 showing that Turán's brick factory problem with 4 storage sites (yellow spots) and 7 kilns (blue spots) requires 18 crossings (red dots) For any k, K 1,k is called a star. [2] All complete bipartite graphs which are trees are stars. The graph K 1,3 is called a claw, and is used to define the claw-free graphs ...

  4. Bipartite graph - Wikipedia

    en.wikipedia.org/wiki/Bipartite_graph

    When modelling relations between two different classes of objects, bipartite graphs very often arise naturally. For instance, a graph of football players and clubs, with an edge between a player and a club if the player has played for that club, is a natural example of an affiliation network, a type of bipartite graph used in social network analysis.

  5. Complete graph - Wikipedia

    en.wikipedia.org/wiki/Complete_graph

    The complement graph of a complete graph is an empty graph. If the edges of a complete graph are each given an orientation, the resulting directed graph is called a tournament. K n can be decomposed into n trees T i such that T i has i vertices. [6] Ringel's conjecture asks if the complete graph K 2n+1 can be decomposed into copies of any tree ...

  6. File:Complete graph K5.svg - Wikipedia

    en.wikipedia.org/wiki/File:Complete_graph_K5.svg

    The following other wikis use this file: Usage on af.wikipedia.org Bespreking:Wetenskapstaal; Usage on ar.wikipedia.org نسبة ذهبية; نجمة خماسية

  7. Planar graph - Wikipedia

    en.wikipedia.org/wiki/Planar_graph

    In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. [1] [2] Such a drawing is called a plane graph, or a planar embedding of the graph.

  8. Kelmans–Seymour conjecture - Wikipedia

    en.wikipedia.org/wiki/Kelmans–Seymour_conjecture

    A related result, Wagner's theorem, states that every 4-vertex-connected nonplanar graph contains a copy of K 5 as a graph minor. One way of restating this result is that, in these graphs, it is always possible to perform a sequence of edge contraction operations so that the resulting graph contains a K 5 subdivision. The Kelmans–Seymour ...

  9. Graphics - Wikipedia

    en.wikipedia.org/wiki/Graphics

    A graph or chart is a graphic that represents tabular or numeric data. Charts are often used to make it easier to understand large quantities of data and the relationships between different parts of the data.

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