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arXiv · 2005.14336

Deficiency in Signed Graphs

Amelia R. W. Mattern
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Abstract

We introduce the concept of deficiency in signed graphs. The deficiency of a coloration is the number of unused colors. We classify the deficiency of 2-chromatic graphs. There are four decision problems about the minimum and maximum deficiency of a 3-chromatic signed graph. We answer two of them with a polynomial-time algorithm for deciding the maximum deficiency of a 3-chromatic signed graph.

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Amelia R. W. Mattern. 2020-05-28. Deficiency in Signed Graphs. https://arxiv.org/abs/2005.14336

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