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This is a Quantitative Study study.

September 18, 2025

Super graceful labeling of co-maximal subgroup graphs of some cyclic groups

Key Points

The study establishes super graceful labeling for co-maximal subgroup graphs of specific finite cyclic groups.
Key graph properties are revealed through the adjacency of distinct vertices based on subgroup product equaling the group.
The approach focuses on finite cyclic groups comprising distinct prime elements for structural analysis.
Findings provide a framework for understanding subgroup relationships within the context of graph theory.

Abstract

The co-maximal subgroup graph Γ(G), of a finite group G, is a special kind of undirected graph, in which the set of vertices contains non-trivial proper subgroups of G and two distinct vertices A and U are adjacent iff AU = G. In this paper, we discuss the structures of co-maximal subgroup graphs of finite cyclic groups ℤpn, ℤp1np2m, ℤp1np2p3, ℤpn1pm2p3 and ℤp1np2mpl3 for n, m, l ∈ N, where p1, p2 and p3 are distinct prime numbers. Also, we establish the super graceful labeling of these graphs.

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Cite This Study

Kumari et al. (Wed,) studied this question.

synapsesocial.com/papers/68d462c131b076d99fa61d80 https://doi.org/https://doi.org/10.47974/jdmsc-2316

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