The Structure of Orthomorphism Graph of $(\mathbb{Z}_2 \times \mathbb{Z}_4)$
Rohitesh Pradhan, Vivek Kumar Jain

TL;DR
This paper provides a theoretical proof that the orthomorphism graph of the group Z2 x Z4 has a maximum clique size of 2 by analyzing its structure.
Contribution
It determines the structure of the orthomorphism graph of Z2 x Z4 and proves its maximal clique size, advancing understanding of its combinatorial properties.
Findings
Orthomorphism graph of Z2 x Z4 has maximal clique size 2
Structural analysis of the orthomorphism graph
Theoretical proof of clique size property
Abstract
In this paper, we gave a theoretical proof of the fact that Orthomorphism graph of group has maximal clique 2, by determining the structure of the graph.
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Taxonomy
TopicsRings, Modules, and Algebras · Finite Group Theory Research · Advanced Graph Theory Research
