Independent domination polynomial of zero-divisor graphs of commutative rings

KIRCALI GÜRSOY N., Ulker A., GÜRSOY A.

SOFT COMPUTING, cilt.26, sa.15, ss.6989-6997, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 15
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s00500-022-07217-2
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.6989-6997
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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 is an element of {2p, p(2), p(alpha), pq, p(2)q, pqr) and their roots. Finally, we prove the log-concavity and unimodality of their independent domination polynomials.