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- Cocoloring abstract "In graph theory, a cocoloring of a graph G is an assignment of colors to the vertices such that each color class forms an independent set in G or in the complement of G. The cochromatic number z(G) of G is the least number of colors needed in any cocolorings of G. The graphs with cochromatic number 2 are exactly the bipartite graphs, complements of bipartite graphs, and split graphs.As the requirement that each color class be a clique or independent is weaker than the requirement for coloring (in which each color class must be an independent set) and stronger than for subcoloring (in which each color class must be a disjoint union of cliques), it follows that the cochromatic number of G is less than or equal to the chromatic number of G, and that it is greater than or equal to the subchromatic number of G.Cocoloring was named and first studied by Lesniak & Straight (1977). Jørgensen (1995) characterizes critical 3-cochromatic graphs, while Fomin, Kratsch & Novelli (2002) describe algorithms for approximating the cochromatic number of a graph. Zverovich (2000) defines a class of perfect cochromatic graphs, analogous to the definition of perfect graphs via graph coloring, and provides a forbidden subgraph characterization of these graphs.".
- Cocoloring thumbnail Cocoloring.svg?width=300.
- Cocoloring wikiPageExternalLink 16.ps.
- Cocoloring wikiPageID "702837".
- Cocoloring wikiPageLength "3456".
- Cocoloring wikiPageOutDegree "17".
- Cocoloring wikiPageRevisionID "702517464".
- Cocoloring wikiPageWikiLink Bipartite_graph.
- Cocoloring wikiPageWikiLink Category:Graph_coloring.
- Cocoloring wikiPageWikiLink Clique_(graph_theory).
- Cocoloring wikiPageWikiLink Color.
- Cocoloring wikiPageWikiLink Glossary_of_graph_theory.
- Cocoloring wikiPageWikiLink Graph_coloring.
- Cocoloring wikiPageWikiLink Graph_theory.
- Cocoloring wikiPageWikiLink Graphs_and_Combinatorics.
- Cocoloring wikiPageWikiLink Independent_set_(graph_theory).
- Cocoloring wikiPageWikiLink Split_graph.
- Cocoloring wikiPageWikiLink Subcoloring.
- Cocoloring wikiPageWikiLink File:Cocoloring.svg.
- Cocoloring wikiPageWikiLinkText "Cocoloring".
- Cocoloring wikiPageWikiLinkText "cochromatic number".
- Cocoloring wikiPageWikiLinkText "cocoloring".
- Cocoloring wikiPageUsesTemplate Template:Citation.
- Cocoloring wikiPageUsesTemplate Template:Harvtxt.
- Cocoloring wikiPageUsesTemplate Template:Refbegin.
- Cocoloring wikiPageUsesTemplate Template:Refend.
- Cocoloring subject Category:Graph_coloring.
- Cocoloring hypernym Assignment.
- Cocoloring comment "In graph theory, a cocoloring of a graph G is an assignment of colors to the vertices such that each color class forms an independent set in G or in the complement of G. The cochromatic number z(G) of G is the least number of colors needed in any cocolorings of G.".
- Cocoloring label "Cocoloring".
- Cocoloring sameAs Q5139803.
- Cocoloring sameAs m.034206.
- Cocoloring sameAs Q5139803.
- Cocoloring wasDerivedFrom Cocoloring?oldid=702517464.
- Cocoloring depiction Cocoloring.svg.
- Cocoloring isPrimaryTopicOf Cocoloring.
