Characterizing graphs of maximum matching width at most 2

Published 23 Jun 2016 in math.CO and cs.DM | (1606.07157v1)

Abstract: The maximum matching width is a width-parameter that is defined on a branch-decomposition over the vertex set of a graph. The size of a maximum matching in the bipartite graph is used as a cut-function. In this paper, we characterize the graphs of maximum matching width at most 2 using the minor obstruction set. Also, we compute the exact value of the maximum matching width of a grid.

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