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  2. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Download as PDF; Printable version; ... This is a list of graph theory topics, by Wikipedia page. See glossary ... Scale-free network; Snark (graph theory) Sparse graph.

  3. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    An undirected graph with three vertices and three edges. In one restricted but very common sense of the term, [1] [2] a graph is an ordered pair = (,) comprising: , a set of vertices (also called nodes or points);

  4. Kuratowski's theorem - Wikipedia

    en.wikipedia.org/wiki/Kuratowski's_theorem

    A subdivision of a graph is a graph formed by subdividing its edges into paths of one or more edges. Kuratowski's theorem states that a finite graph G {\displaystyle G} is planar if it is not possible to subdivide the edges of K 5 {\displaystyle K_{5}} or K 3 , 3 {\displaystyle K_{3,3}} , and then possibly add additional edges and vertices, to ...

  5. Grötzsch's theorem - Wikipedia

    en.wikipedia.org/wiki/Grötzsch's_theorem

    By combining these two results, it may be shown that every triangle-free planar graph has a homomorphism to a triangle-free 3-colorable graph, the tensor product of with the Clebsch graph. The coloring of the graph may then be recovered by composing this homomorphism with the homomorphism from this tensor product to its K 3 {\displaystyle K_{3 ...

  6. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).

  7. Regular graph - Wikipedia

    en.wikipedia.org/wiki/Regular_graph

    In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each internal vertex are equal to each other. [1]

  8. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.

  9. List of graphical methods - Wikipedia

    en.wikipedia.org/wiki/List_of_graphical_methods

    Autocorrelation plot; Bar chart; Biplot; Box plot; Bullet graph; Chernoff faces; Control chart; Fan chart; Forest plot; Funnel plot; Galbraith plot; Histogram; Mosaic ...