Graphs Defined on Rings: A Review

S Madhumitha, S Naduvath - Mathematics, 2023 - mdpi.com
The study on graphs emerging from different algebraic structures such as groups, rings,
fields, vector spaces, etc. is a prominent area of research in mathematics, as algebra and …

Exploring a Graph Complement in Quadratic Congruence

H Daoub, O Shafah, AA Almutlg - Symmetry, 2024 - mdpi.com
In this work, we investigate essential definitions, defining G as a simple graph with vertices
in Z n and subgraphs Γ u and Γ q as unit residue and quadratic residue graphs modulo n …

[HTML][HTML] Unit and unitary Cayley graphs for the ring of Eisenstein integers modulo n

JN Reza, B Ali - Ural Mathematical Journal, 2021 - cyberleninka.ru
Let En be the ring of Eisenstein integers modulo n. We denote by G (En) and GEn, the unit
graph and the unitary Cayley graph of En, respectively. In this paper, we obtain the value of …