English

Negative closed walks in signed graphs: A note

Discrete Mathematics 2019-10-15 v1 Combinatorics

Abstract

Recently Naserasr, Sopena, and Zaslavsky [R. Naserasr, \'E. Sopena, T. Zaslavsky,Homomorphisms of signed graphs: An update, arXiv: 1909.05982v1 [math.CO] 12 Sep 2019.] published a report on closed walks in signed graphs. They gave a characterization of the sets of closed walks in a graph GG which corespond to the set of negative walks in some signed graph on GG. In this note we show that their characterization is not valid and give a new characterization.

Cite

@article{arxiv.1910.06032,
  title  = {Negative closed walks in signed graphs: A note},
  author = {Andrzej Szepietowski},
  journal= {arXiv preprint arXiv:1910.06032},
  year   = {2019}
}
R2 v1 2026-06-23T11:42:47.679Z