ON THE ANALYSIS OF SOME THEORETIC GRAPH PROPERTIES OF THE INTERSECTION GRAPH OF Zn

Authors

  • A.M. Dogondaji

DOI:

https://doi.org/10.22377/ajms.v9i01.577

Abstract

Abstract. This study investigates the structural properties of the Intersection Graph Γint(Zn) of the
subgroups of Zn, focusing on cases where n = p, n = pq, n = p2 (p, q primes), and n = 2k (k a natural
number). The research examines the connectedness of the graph. The results reveal unique properties of
Γint(Zn) for each case of connectedness. Notably, for n = 2k, the graph is regular, complete, and exhibits
rapid growth in size as k increases. This study provides a comprehensive understanding of the structural
properties of Γint(Zn) and contributes to the existing body of knowledge on graph theory and group theory.

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Published

2025-03-15

Issue

Vol. 9 No. 01 (2025): Asian Journal of Mathematical Sciences

Section

Review Articles

License

Copyright (c) 2025 A.M. Dogondaji

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

This is an Open Access article distributed under the terms of the Attribution-Noncommercial 4.0 International License [CC BY-NC 4.0], which requires that reusers give credit to the creator. It allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, for noncommercial purposes only.