On intersection graph of dihedral group

Sanhan Muhammad Salih Khasraw

Abstract


Let G be a finite group. The intersection graph of G is a graph whose vertex set is the set of all proper non-trivial subgroups of G and two distinct vertices H and K are adjacent if and only if H∩K≠{e}, where e is the identity of the group G. In this paper, we investigate some properties and exploring the metric dimension and the resolving polynomial of the intersection graph of D2p2. We also find some topological indices such as Wiener, Hyper-Wiener, first and second Zagreb, Schultz, Gutman and eccentric connectivity indices of the intersection graph of D2n for n=p2, where p is prime.

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Published: 2021-08-19

How to Cite this Article:

Sanhan Muhammad Salih Khasraw, On intersection graph of dihedral group, J. Math. Comput. Sci., 11 (2021), 6714-6728

Copyright © 2021 Sanhan Muhammad Salih Khasraw. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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