k-chromatic graph

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• Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… …   Wikipedia

• Chromatic (disambiguation) — Chromatic, a word ultimately derived from the Greek noun χρῶμα (khrṓma), which means complexion or color , and then from the Greek adjective χρωματικός (khrōmatikós; colored ), may refer to: In music: Chromatic scale, the western tempered twelve… …   Wikipedia

• Chromatic polynomial — All nonisomorphic graphs on 3 vertices and their chromatic polynomials, clockwise from the top. The independent 3 set: k3. An edge and a single vertex: k2(k − 1). The 3 path: k(k − 1)2. The 3 clique …   Wikipedia

• Graph factorization — Not to be confused with Factor graph. 1 factorization of Desargues graph: each color class is a 1 factor …   Wikipedia

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• Graph homomorphism — Not to be confused with graph homeomorphism. In the mathematical field of graph theory a graph homomorphism is a mapping between two graphs that respects their structure. More concretely it maps adjacent vertices to adjacent vertices. Contents 1… …   Wikipedia

• chromatic number — noun The smallest number of colours needed to colour a connected graph The chromatic number of a complete graph is and the chromatic number of the bipartite graph two …   Wiktionary

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• Hadwiger conjecture (graph theory) — In graph theory, the Hadwiger conjecture (or Hadwiger s conjecture) states that, if an undirected graph G requires k or more colors in any vertex coloring, then one can find k disjoint connected subgraphs of G such that each subgraph is connected …   Wikipedia

• Critical graph — In general the notion of criticality can refer to any measure. But in graph theory, when the term is used without any qualification, it almost always refers to the chromatic number of a graph. Critical graphs are interesting because they are the… …   Wikipedia

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