A Simple Linear Time LexBFS Cograph Recongition Algorithm
Abstract
Recently Lexicographic Breadth First Search (LexBFS) has been shown to be a very powerful tool for the development of linear time, easily implementable recognition algorithms for various families of graphs. In this paper, we add to this work by producing a simple two LexBFS sweep algorithm to recognize the family of cographs. This algorithm extends to other related graph families such as $P_4$-reducible, $P_4$-sparse and distance hereditary. It is an open question whether our cograph recognition algorithm can be extended to a similarly easy algorithm for modular decomposition.
Domains
Discrete Mathematics [cs.DM]![]()
Describes lirmm-00269525 Conference output Anna Bretscher, Derek Corneil, Michel Habib, Christophe Paul. A Simple Linear Time LexBFS Cograph Recognition Algorithm. WG 2003 - 29th International Workshop on Graph-Theoretic Concepts in Computer Science, Jun 2003, Elspeet, Netherlands. pp.119-130, ⟨10.1007/978-3-540-39890-5_11⟩. ⟨lirmm-00269525⟩