Chromatic Polynomials of Signed Book Graphs

For $m \geq 3$ and $n \geq 1$, the $m$-cycle \textit{book graph} $B(m,n)$ consists of $n$ copies of the cycle $C_m$ with one common edge. In this paper, we prove that (a) the number of switching non-isomorphic signed $B(m,n)$ is $n+1$, and (b) the chromatic number of a signed $B(m,n)$ is either 2 or...

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Bibliographic Details
Main Authors: Deepak Sehrawat, Bikash Bhattacharjya
Format: Article
Language:English
Published: Georgia Southern University 2022-03-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol9/iss1/4