Linear-time modular decomposition of directed graphs

Abstract

Modular decomposition of graphs is a powerful tool with many applications in graph theory and optimization. There are e cient linear-time algorithms that compute the decomposition for undirected graphs. The best previously published time bound for directed graphs is O(n+m log n), where n is the number of vertices and m is the number of edges. We give an O(n + m)-time algorithm.

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