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  2. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Complete coloring; Edge coloring; Exact coloring; ... Free tree; Game tree; K-ary tree; Octree; ... This page was last edited on 24 September 2024, ...

  3. Category:Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Category:Graph_coloring

    Pages in category "Graph coloring" The following 82 pages are in this category, out of 82 total. ... Conflict-free coloring; ... Total coloring; Tree-depth;

  4. List coloring - Wikipedia

    en.wikipedia.org/wiki/List_coloring

    Given a graph G and given a set L(v) of colors for each vertex v (called a list), a list coloring is a choice function that maps every vertex v to a color in the list L(v). As with graph coloring, a list coloring is generally assumed to be proper , meaning no two adjacent vertices receive the same color.

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  6. Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Graph_coloring

    A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain constraints, such as that no two adjacent elements have the same color.

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  8. Tree (graph theory) - Wikipedia

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

    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 an acyclic undirected graph, or equivalently a disjoint union of trees.

  9. Equitable coloring - Wikipedia

    en.wikipedia.org/wiki/Equitable_coloring

    Bodlaender & Fomin (2005) showed that, given a graph G and a number c of colors, it is possible to test whether G admits an equitable c-coloring in time O(n O(t)), where t is the treewidth of G; in particular, equitable coloring may be solved optimally in polynomial time for trees (previously known due to Chen & Lih 1994) and outerplanar graphs.

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