Original Research Article

Article volume = 2021 and issue = 1

Pages: 92–96

Article publication Date: November, 1, 2021

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Laplacian Energy of The Conjugacy Class Graphs of Metabelian Groups of Order Less Than 3

Zeinab Foruzanfar, Mehdi Rezaei

Imam Khomeini International University - Buin Zahra Higher Education Center of Engineering and Technology, Qazvin, Iran.


Abstract:

Let G be a finite group and V(G) be the set of all non-central conjugacy classes of G. The conjugacy class graph 􀀀 (G) is defined as: its vertex set is the set V(G) and two distinct vertices xG and yG are connected with an edge if (o(x), o(y)) > 1. In this paper, we compute the Laplacian energy of the conjugacy class graphs of metabelian groups of order less than thirty

Keywords:

Metabelian group, conjugacy class graph, Laplacian energy, eigenvalue.


References:
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Cite this article as:
  • Zeinab Foruzanfar, Mehdi Rezaei, Laplacian Energy of The Conjugacy Class Graphs of Metabelian Groups of Order Less Than 3, Communications in Combinatorics, Cryptography & Computer Science, 2021(1), PP.92–96, 2021
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