Linear Time

Linear Time Recognition of Bipartite Star123-Free Graphs

Ruzayn Quaddoura

Faculty of Science and Information Technology, Zarqa Private University, Jordan

 Abstract: In this paper, we present a linear time recognition algorithm for recognizing bipartite graphs without induced subgraphs isomorph to star123. Bipartite star123-free graphs are a natural generalization of both weak bisplit and Star123, Sun4-free bipartite graphs, both further generalizing bicographs. 

Keywords: Bipartite graph, decomposition of graphs, complexity.

 Received October 17, 2004; accepted July 25, 2005 

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