Negative closed walks in signed graphs: A note
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 G which corespond to the set of negative walks in some signed graph on G. In this note we show that their characterization is not valid and give a new characterization.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.