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Lecture Notes in Computer Science
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. They propose an O(n 2 ) algorithm for chromatic number and a less e cient algorithm for maximum clique on trapezoid graphs. Based on a geometric representation of trapezoid graphs by boxes in the plane we design optimal, i.e., O(n log n), algorithms for chromatic number, weighted independent set, clique cover and maximumdoi:10.1007/3-540-58218-5_13 fatcat:rh53ocuvvfgzjluvpsy4b7ugze