Prime Order Element Graph of a Group -- II
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912527544221696 |
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| author | Manna, Tapa Poddar, Sauvik Das, Angsuman Bhattacharya, Baby |
| author_facet | Manna, Tapa Poddar, Sauvik Das, Angsuman Bhattacharya, Baby |
| contents | In this sequel paper, we continue the analysis of the prime order element graph $Γ(G)$ of a finite group $G$, where vertices are elements of $G$ and edges connect distinct elements $x, y$ satisfying $\circ(xy) = p$ for some prime $p$. Our investigation focuses on the adjacency and Laplacian spectra, planarity, and clique number of this graph. We conclude by outlining open issues and potential directions for future investigations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prime Order Element Graph of a Group -- II Manna, Tapa Poddar, Sauvik Das, Angsuman Bhattacharya, Baby Group Theory Combinatorics 05C25, 05C50, 05C10 In this sequel paper, we continue the analysis of the prime order element graph $Γ(G)$ of a finite group $G$, where vertices are elements of $G$ and edges connect distinct elements $x, y$ satisfying $\circ(xy) = p$ for some prime $p$. Our investigation focuses on the adjacency and Laplacian spectra, planarity, and clique number of this graph. We conclude by outlining open issues and potential directions for future investigations. |
| title | Prime Order Element Graph of a Group -- II |
| topic | Group Theory Combinatorics 05C25, 05C50, 05C10 |
| url | https://arxiv.org/abs/2508.06222 |