Component graphs of vector spaces and zero-divisor graphs of ordered sets
Combinatorics
2022-10-11 v1
Abstract
In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-distributive lattice and the zero-divisor graph of rings. Further, we define an equivalence relation on nonzero component graphs and nonzero component union graphs to deduce that these graphs are the graph join of zero-divisor graphs of Boolean algebras and complete graphs. In the last section, we characterize the perfect and chordal nonzero component graphs and nonzero component union graphs.
Keywords
Cite
@article{arxiv.2210.04281,
title = {Component graphs of vector spaces and zero-divisor graphs of ordered sets},
author = {Nilesh Khandekar and Peter J. Cameron and Vinayak Joshi},
journal= {arXiv preprint arXiv:2210.04281},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2205.04916