Spectrum and genus of commuting graphs of some classes of finite rings

Authors

  • Jutirekha Dutta Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam
  • Walaa Nabil Taha Fasfous Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam
  • Rajat Kanti Nath Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam

DOI:

https://doi.org/10.12697/ACUTM.2019.23.01

Keywords:

integral graph, commuting graph, spectrum, genus

Abstract

We consider commuting graphs of some classes of finite rings and compute their spectrum and genus. We show that the commuting graph of a finite CC-ring is integral. We also characterize some finite rings whose commuting graphs are planar.

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Published

2019-08-09

Issue

Vol. 23 No. 1 (2019)

Section

Articles