Maximal Ideal Graph of Zn
Abstract
In this paper, we present the structure of the maximal ideal graph of the ring . Several graph properties are given including completeness, planarity, separability. Furthermore, we show that is Hamiltonian, and Eulerian under certain conditions. We also compute the degree of vertices, size, circumference, girth, and clique number of for specific types of n. Finally, we find Hosoya polynomial of which depends on both degree of vertices and size of the graph for certain values of n.
Fields of Study & Subjects
Rings
Modules
and Algebras
Graph theory and applications
Finite Group Theory Research
Publication details
- Journal / source
- ZANCO Journal of Pure and Applied Sciences
- Volume
- 38
- Issue
- 1
- Pages
- 91–99
- Publication date
- 28 February 2026
- Language
- EN