On the treewidths of graphs of bounded degree.

Song, Yinglei; Yu, Menghong · PLoS One · 2015

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Abstract

In this paper, we develop a new technique to study the treewidth of graphs with bounded degree. We show that the treewidth of a graph G = (V, E) with maximum vertex degree d is at most [Formula: see text] for sufficiently large d, where C is a constant.

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