1996•SIAM Journal on ComputingRequires access

Efficient Parallel Algorithms for Chordal Graphs

Philip N. Klein

Abstract

We give the first efficient parallel algorithms for recognizing chordal graphs, finding a maximum clique and a maximum independent set in a chordal graph, finding an optimal coloring of a chordal graph, finding a breadth-first search tree and a depth-first search tree of a chordal graph, recognizing interval graphs, and testing interval graphs for isomorphism. The key to our results is an efficient parallel algorithm for finding a perfect elimination ordering.

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Key concepts: Chordal graph, Interval graph, Split graph, Indifference graph, Combinatorics, Mathematics, Pathwidth, Treewidth