@article {
author = {Boro, Laithun and Singh, Madan and Goswami, Jituparna},
title = {THE UNIT GRAPH OF A COMMUTATIVE SEMIRING},
journal = {Journal of Algebraic Systems},
volume = {12},
number = {1},
pages = {79-89},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2022.11957.1612},
abstract = {Let S be a commutative semiring with unity and U(S) be the set of all units of S. The unit graph of S, denoted by G(S), is the undirected graph with vertex set S and two distinct vertices x and y are adjacent if and only if x + y ∈ U(S). In this article, we have investigated some properties of unit graph G(S) of S regarding completeness, bipartiteness, connectedness, diameter and girth. Finally, we find a necessary and sufficient condition for G(S) to be traversable.},
keywords = {Unit graph,connectedness,diameter,girth,traversability},
url = {https://jas.shahroodut.ac.ir/article_2836.html},
eprint = {https://jas.shahroodut.ac.ir/article_2836_cf33c9288a9bbc12414f964d9bc4eb79.pdf}
}