English

Circuit Covers of Signed Eulerian Graphs

Combinatorics 2021-06-21 v2

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.

Cite

@article{arxiv.1910.09999,
  title  = {Circuit Covers of Signed Eulerian Graphs},
  author = {Bo Bao and Rong Chen and Genghua Fan},
  journal= {arXiv preprint arXiv:1910.09999},
  year   = {2021}
}

Comments

12 pages, 1 figure

R2 v1 2026-06-23T11:51:23.755Z