Show that the following graphs are perfect: (a) bipartite graphs; (b) interval graphs: ({v1,...,vn},{{vi, vj} : i = j, [ai, bi] ∩ [a j, b j] = ∅}), where [a1, b1],...,[an, bn] is a set of closed...



Show that the following graphs are perfect:


(a) bipartite graphs;


(b) interval graphs: ({v1,...,vn},{{vi, vj} : i = j, [ai, bi] ∩ [a j, b j] = ∅}),


where [a1, b1],...,[an, bn] is a set of closed intervals;


(c) chordal graphs (see Exercise 38 of Chapter 8).



Dec 19, 2021
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