Trapezoid graphs and their coloring

作者: Ido Dagan , Martin Charles Golumbic , Ron Yair Pinter

DOI: 10.1016/0166-218X(88)90032-7

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摘要: Abstract We define trapezoid graphs, an extension of both interval and permutation graphs. show that this new class properly contains the union two former classes, graphs are equivalent to incomparability partially ordered sets having order dimension at most two. provide optimal coloring algorithm for runs in time O(nk), where n is number nodes k chromatic graph. Our has direct applications channel routing on integrated circuits.

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