In graph theory, a branch of mathematics, a crown graph on 2n vertices is an undirected graph with two sets of vertices ui and vi and with an edge from ui to vj whenever i ≠ j. The crown graph can be viewed as a complete bipartite graph from which the edges of a perfect matching have been removed, as the bipartite double cover of a complete graph, or as a bipartite Kneser graph Hn,1 representing the 1-item and (n − 1)-item subsets of an n-item set, with an edge between two subsets whenever one is contained in the other.
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Famous quotes containing the words crown and/or graph:
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—Bible: Hebrew Proverbs 16:31.
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—W.N.P. Barbellion (1889–1919)