Some Cohen–Macaulay graphs arising from finite commutative rings

Autor:	T. Ashitha, T. Asir, M. R. Pournaki
Rok vydání:	2022
Předmět:	Algebra and Number Theory Computer Science::Information Retrieval Applied Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Zdroj:	Journal of Algebra and Its Applications. 22
ISSN:	1793-6829 0219-4988
Popis:	For a given finite commutative ring [Formula: see text] with [Formula: see text], one may associate a graph which is called the total graph of [Formula: see text]. This graph has [Formula: see text] as the vertex set and its two distinct vertices [Formula: see text] and [Formula: see text] are adjacent exactly whenever [Formula: see text] is a zero-divisor of [Formula: see text]. In this paper, we give necessary and sufficient conditions for two classes of total graphs to be Cohen–Macaulay.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0d085dfff7cfa22fbee4f327ed284cbb https://doi.org/10.1142/s0219498823501293 Zobrazit plný text záznamu