Back to Search Start Over

Independent domination polynomial of zero-divisor graphs of commutative rings.

Authors :
Kırcalı Gürsoy, Necla
Ülker, Alper
Gürsoy, Arif
Source :
Soft Computing - A Fusion of Foundations, Methodologies & Applications. Aug2022, Vol. 26 Issue 15, p6989-6997. 9p.
Publication Year :
2022

Abstract

An independent dominating set of a graph is a vertex subset that is both dominating and independent set in the graph, i.e., a maximal independent set. Also, the independent domination polynomial is an ordinary generating function for the number of independent dominating sets in the graph. In this paper, we examine independent domination polynomials of zero-divisor graphs of the ring Z n where n ∈ { 2 p , p 2 , p α , p q , p 2 q , p q r } and their roots. Finally, we prove the log-concavity and unimodality of their independent domination polynomials. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14327643
Volume :
26
Issue :
15
Database :
Academic Search Index
Journal :
Soft Computing - A Fusion of Foundations, Methodologies & Applications
Publication Type :
Academic Journal
Accession number :
157889521
Full Text :
https://doi.org/10.1007/s00500-022-07217-2