In graph theory, a comparability graph is an undirected graph that connects pairs of elements that are comparable to each other in a partial order. Comparability...
13 KB (1,383 words) - 01:41, 25 January 2024
graph. Finite comparability graphs (and their complementary incomparability graphs) are always perfect. A clique, in a comparability graph, comes from a...
59 KB (7,042 words) - 19:21, 6 May 2024
complement is a comparability graph, it follows that graph and its complement are both interval graphs if and only if the graph is both a split graph and a permutation...
22 KB (2,640 words) - 01:39, 27 August 2024
Dilworth's theorem (category Perfect graphs)
any two comparable elements. Thus, a clique in a comparability graph corresponds to a chain, and an independent set in a comparability graph corresponds...
18 KB (2,429 words) - 18:50, 19 August 2024
Look up comparability in Wiktionary, the free dictionary. In mathematics, two elements x and y of a set P are said to be comparable with respect to a...
5 KB (726 words) - 13:07, 19 December 2023
are comparable in the partial order. Equivalently, a comparability graph is a graph that has a transitive orientation. Many other classes of graphs can...
107 KB (15,784 words) - 17:42, 20 August 2024
graph in F is also locally F. For instance, every chordal graph is locally chordal; every perfect graph is locally perfect; every comparability graph...
10 KB (1,122 words) - 08:52, 18 August 2023
that such a graph is perfect." Trivially perfect graphs are also known as comparability graphs of trees, arborescent comparability graphs, and quasi-threshold...
11 KB (1,189 words) - 07:43, 18 July 2024
{\overline {G}}} are comparability graphs. A graph G {\displaystyle G} is a permutation graph if and only if it is the comparability graph of a partially ordered...
8 KB (938 words) - 07:10, 16 February 2023
Cograph (redirect from Complement-reducible graph)
special cases of the distance-hereditary graphs, permutation graphs, comparability graphs, and perfect graphs. Any cograph may be constructed using the...
22 KB (2,717 words) - 02:51, 9 January 2024