[HTML][HTML] Induced subgraphs of zero-divisor graphs

G Arunkumar, PJ Cameron, T Kavaskar… - Discrete Mathematics, 2023 - Elsevier
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is
the set of zero-divisors in the ring, with a and b adjacent if ab= 0. We show that the class of …

Boundes for Boxicity of some classes of graphs

T Kavaskar - arXiv preprint arXiv:2308.08240, 2023 - arxiv.org
Let $ box (G) $ be the boxicity of a graph $ G $, $ G [H_1, H_2,\ldots, H_n] $ be the $ G $-
generalized join graph of $ n $-pairwise disjoint graphs $ H_1, H_2,\ldots, H_n $, $ G^ d_k …

[PDF][PDF] Wiener index of an ideal-based zero-divisor graph of commutative ring with unity

S Balamoorthy, T Kavaskar… - AKCE Int. J. Graphs …, 2023 - researchgate.net
Topological graph indices are very useful tools in mathematical chemistry. By modeling a
chemical substance with a graph, we can apply these indices and obtain physico-chemical …

On Zero-Divisor Graph of the ring

N Annamalai - arXiv preprint arXiv:2208.06004, 2022 - arxiv.org
In this article, we discussed the zero-divisor graph of a commutative ring with identity
$\mathbb {F} _p+ u\mathbb {F} _p+ u^ 2\mathbb {F} _p $ where $ u^ 3= 0$ and $ p $ is an …

On Zero-Divisor Graph of the ring

N Annamalai - Communications in Combinatorics and …, 2025 - comb-opt.azaruniv.ac.ir
In this article, we discussed the zero-divisor graph of a commutative ring with identity
$\mathbb {F} _p+ u\mathbb {F} _p+ u^ 2\mathbb {F} _p $ where $ u^ 3= 0$ and $ p $ is an …

Perfectness of G-generalized Join of Graphs

T Kavaskar - Conference on Algorithms and Discrete Applied …, 2023 - Springer
In this paper, we prove that the G-generalized join of complete or totally disconnected
graphs is perfect if and only if G is perfect. As a result, we deduce some results proved in …