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arXiv · 1910.09999

Circuit Covers of Signed Eulerian Graphs

Bo Bao·Rong Chen·Genghua Fan
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Abstract

A signed circuit cover of a signed graph is a natural analog of a circuit cover of a graph, and is equivalent to a covering of its corresponding signed-graphic matroid with circuits. It was conjectured that a signed graph whose signed-graphic matroid has no coloops has a 6-cover. In this paper, we prove that the conjecture holds for signed Eulerian graphs.

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Bo Bao, Rong Chen, Genghua Fan. 2021-06-18. Circuit Covers of Signed Eulerian Graphs. https://arxiv.org/abs/1910.09999

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