Distance Matrices for Conjugate Skew Gain Graphs
Combinatorics
2023-07-13 v1
Abstract
A conjugate skew gain graph is a skew gain graph with the labels (also called, the conjugate skew gains) from the field of complex numbes on the oriented edges such that they get conjugated when we reverse the orientation. In this paper we introduce distance matrices for conjugate skew gain graphs and characterize balanced conjugate skew gain graphs using these matrices. We provide explicit formulae for the distance spectra of certain conjugate skew gain graphs.
Keywords
Cite
@article{arxiv.2307.05718,
title = {Distance Matrices for Conjugate Skew Gain Graphs},
author = {Shahul Hameed K and Ramakrishnan K O and Biju K},
journal= {arXiv preprint arXiv:2307.05718},
year = {2023}
}