On (distance) Laplacian characteristic polynomials of power graphs
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910146559475712 |
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| author | Rather, Bilal Ahmad Aouchiche, Mustapha Bovdi, Victor A. |
| author_facet | Rather, Bilal Ahmad Aouchiche, Mustapha Bovdi, Victor A. |
| contents | The characteristic polynomials of the Laplacian and the distance Laplacian matrices of power graphs of groups of order $ pqr $, where $ p,q $ and $ r $ are { primes,} are obtained. Further, the characteristic polynomials of these matrices for proper power graphs of cyclic and dicyclic groups are given. The important inequalities for the zeros of the distance Laplacian characteristic polynomials of power graphs of finite groups are presented in comments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17607 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On (distance) Laplacian characteristic polynomials of power graphs Rather, Bilal Ahmad Aouchiche, Mustapha Bovdi, Victor A. Combinatorics Discrete Mathematics Group Theory 05C50, 05C12, 05C25, 15A18 F.2.2 The characteristic polynomials of the Laplacian and the distance Laplacian matrices of power graphs of groups of order $ pqr $, where $ p,q $ and $ r $ are { primes,} are obtained. Further, the characteristic polynomials of these matrices for proper power graphs of cyclic and dicyclic groups are given. The important inequalities for the zeros of the distance Laplacian characteristic polynomials of power graphs of finite groups are presented in comments. |
| title | On (distance) Laplacian characteristic polynomials of power graphs |
| topic | Combinatorics Discrete Mathematics Group Theory 05C50, 05C12, 05C25, 15A18 F.2.2 |
| url | https://arxiv.org/abs/2604.17607 |