On the Characteristic Polynomial of Skew Gain Graphs

Autor:	Hameed, K. Shahul, Roy, Roshni T, Soorya, P., Germina, K. A.
Rok vydání:	2020
Předmět:	Mathematics - Combinatorics 05C22 05C50 05C76
Druh dokumentu:	Working Paper
Popis:	Gain graphs are graphs where the edges are given some orientation and labeled with the elements (called gains) from a group so that gains are inverted when we reverse the direction of the edges. Generalizing the notion of gain graphs, skew gain graphs have the property that the gain of a reversed edge is the image of edge gain under an anti-involution. In this paper, we deal with the adjacency matrix of skew gain graphs with involutive automorphism on a field of characteristic zero and their charactersitic polynomials. Spectra of some particular skew gain graphs are also discussed. Meanwhile it is interesting to note that weighted graphs are particular cases of skew gain graphs. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.08708 Zobrazit plný text záznamu View this record from Arxiv