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arXiv · 1107.2170

Acyclic and unicyclic graphs whose minimum skew rank is equal to the minimum skew rank of a diametrical path

Luz M. DeAlba
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Abstract

The minimum skew rank of a simple graph G over the field of real numbers, is the smallest possible rank among all real skew-symmetric matrices whose (i,j)-entry (for i not equal to j) is nonzero whenever {i, j} is an edge in G and is zero otherwise. In this paper we give an algorithm for computing the minimum skew rank of a connected unicyclic graph, and classify all connected acyclic and connected unicyclic graphs G, for which the minimum skew rank of G is equal to the minimum skew rank of P, where P is a diametrical path of G.

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Luz M. DeAlba. 2011-07-12. Acyclic and unicyclic graphs whose minimum skew rank is equal to the minimum skew rank of a diametrical path. https://arxiv.org/abs/1107.2170

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