Non-Zero Component Graph of a Finite Dimensional Vector Space
General Mathematics
2021-11-09 v2
Abstract
In this paper, we introduce a graph structure, called non-zero component graph on finite dimensional vector spaces. We show that the graph is connected and find its domination number and independence number. We also study the inter-relationship between vector space isomorphisms and graph isomorphisms and it is shown that two graphs are isomorphic if and only if the corresponding vector spaces are so. Finally, we determine the degree of each vertex in case the base field is finite.
Cite
@article{arxiv.1506.04905,
title = {Non-Zero Component Graph of a Finite Dimensional Vector Space},
author = {Angsuman Das},
journal= {arXiv preprint arXiv:1506.04905},
year = {2021}
}
Comments
To appear in Communications in Algebra, Taylor & Francis