MATEMATIČKI VESNIK Vol. 69, No. 3, pp. 226–230 (2017) 

Finite groups whose commuting graphs are integralJ. Dutta and R. K. NathJ.D: Department of Mathematical Sciences, Tezpur University, Napaam784028, Sonitpur, Assam India Email: jutirekhadutta@yahoo.com and R.K.N: Department of Mathematical Sciences, Tezpur University, Napaam784028, Sonitpur, Assam India Email: rajatkantinath@yahoo.comAbstract: A finite nonabelian group $G$ is called commuting integral if the commuting graph of $G$ is integral. In this paper, we show that a finite group is commuting integral if its central quotient is isomorphic to ${\mathbb{Z}}_{p}\times {\mathbb{Z}}_{p}$ or ${D}_{2m}$, where $p$ is any prime integer and ${D}_{2m}$ is the dihedral group of order $2m$. Keywords: Integral graph; commuting graph; spectrum of a graph. Classification (MSC2000): 05C25; 05C50, 20D60 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 20 Jun 2017. This page was last modified: 7 Jul 2017.
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