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Solving the Maximum Matching Problem on Bipartite Star123-Free Graphs in Linear Time

DOI: 10.4236/ojdm.2016.61003, PP. 13-24

Keywords: Bipartite Graphs, Decomposition of Graphs, Design and Analysis of Algorithms, Matching

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Abstract:

The bipartite Star123-free graphs were introduced by V. Lozin in [1] to generalize some already known classes of bipartite graphs. In this paper, we extend to bipartite Star123-free graphs a linear time algorithm of J. L. Fouquet, V. Giakoumakis and J. M. Vanherpe for finding a maximum matching in bipartite Star123, P7-free graphs presented in [2]. Our algorithm is a solution of Lozin’s conjecture.

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