On the cozero-divisor graphs associated to rings
| Autor: | Praveen Mathil, Barkha Baloda, Jitender Kumar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | AKCE International Journal of Graphs and Combinatorics, Vol 19, Iss 3, Pp 238-248 (2022) |
| Druh dokumentu: | article |
| ISSN: | 09728600 2543-3474 0972-8600 |
| DOI: | 10.1080/09728600.2022.2111241 |
| Popis: | AbstractLet R be a ring with unity. The cozero-divisor graph of a ring R, denoted by [Formula: see text] is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of R, and two distinct vertices x and y are adjacent if and only if [Formula: see text] and [Formula: see text] In this paper, first we study the Laplacian spectrum of [Formula: see text] We show that the graph [Formula: see text] is Laplacian integral. Further, we obtain the Laplacian spectrum of [Formula: see text] for [Formula: see text] where [Formula: see text] and p, q are distinct primes. In order to study the Laplacian spectral radius and algebraic connectivity of [Formula: see text] we characterized the values of n for which the Laplacian spectral radius is equal to the order of [Formula: see text] Moreover, the values of n for which the algebraic connectivity and vertex connectivity of [Formula: see text] coincide are also described. At the final part of this paper, we obtain the Wiener index of [Formula: see text] for arbitrary n. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|