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Arboricity — The arboricity of an undirected graph is the minimum number of forests into which its edges can be partitioned. Equivalently it is the minimum number of spanning trees needed to cover all the edges of the graph.ExampleThe figure shows the… … Wikipedia
Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… … Wikipedia
Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… … Wikipedia
Degeneracy (graph theory) — In graph theory, a k degenerate graph is an undirected graph in which every subgraph has a vertex of degree at most k: that is, some vertex in the subgraph touches k or fewer of the subgraph s edges. The degeneracy of a graph is the smallest… … Wikipedia
Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… … Wikipedia
Star (graph theory) — Star The star S7. (Some authors index this as S8.) Vertices k+1 Edges k … Wikipedia
Strong coloring — [ This cubic graph is strongly 4 colorable. The 4 sized partitions are 35, but only this 7 partitions are topologically unique.] In graph theory, a strong coloring, with respect to a partition of the vertices into (disjoint) subsets of equal… … Wikipedia
Null graph — In the mathematical field of graph theory, the null graph may refer either to the order zero graph, or alternatively, to any edgeless graph (the latter is sometimes called an empty graph). Contents 1 Order zero graph 2 Edgeless graph 3 See also … Wikipedia
List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia
Dense graph — In mathematics, a dense graph is a graph in which the number of edges is close to the maximal number of edges. The opposite, a graph with only a few edges, is a sparse graph. The distinction between sparse and dense graphs is rather vague, and… … Wikipedia
