Original Research Article

Article volume = 2021 and issue = 1

Pages: 84–2

Article publication Date: November, 1, 2021

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# On The Conjugacy Class Graphs of Some Dicyclic Groups

#### Zeinab Foruzanfar, Mehdi Rezaei

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

##### Abstract:

Let G be a dicyclic group and (G) be the attached graph related to its conjugacy classes, which is defined as: the vertices of (G) are represented by the non-central conjugacy classes of G and two distinct vertices xG and yG are connected with an edge if (o(x), o(y)) > 1. In this paper, we calculate the clique number and the girth of (G) for dicyclic groups of orders 4p, 8p, 4p2, 4pq and 2m.

##### Keywords:

Dicyclic group, Conjugacy class, Clique number, Girth.

##### References:

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##### Cite this article as:

- Zeinab Foruzanfar, Mehdi Rezaei, On The Conjugacy Class Graphs of Some Dicyclic Groups, Communications in Combinatorics, Cryptography & Computer Science, 2021(1), PP.84–2, 2021
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