A note on the Independent domination polynomial of zero divisor graph of rings

2024/01/04 by Bilal Ahmad Rather, Rather, Bilal Ahmad
Mathematics · #05C25 #05C31 #05C69 #05C90 #Advanced Topics in Algebra #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2401.02559

openalex publication_date 2024/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we consider the independent domination polynomial problem along with their unimodal and log-concave properties which were earlier studied by Gürsoy, Ülker and Gürsoy (Soft Comp. 2022). We show that the independent domination polynomial of zero divisor graphs of ℤ_n for n∈ \ pq, p²q, pqr, p^α\ where p,q,r are primes with 2

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