论文标题

图三宽度的计算

Computation of twin-width of graphs

论文作者

Das, Kajal

论文摘要

双宽是最近引入的图形参数。在本文中,我们计算各种有限图的双宽度。特别是,我们证明具有4和5顶点的有限图的双宽度分别小于1和2。我们表明,双图和线图的构造不能保留双宽度。另外,我们为国王图和Rook的图的双宽度提供了上限。

Twin-width is a recently introduced graph parameter. In this article, we compute twin-width of various finite graphs. In particular, we prove that the twin-widths of finite graphs with 4 and 5 vertices are less than equal to 1 and 2, respectively. We show that the constructions of dual graph and line graph do not preserve twin-width. Also, we give upper bounds for the twin-width of King's graph and Rook's graph.

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