Construction of non-regular $A_α$-cospectral graphs from some join of graphs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866910357821325312 |
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| author | K, Najiya V A V, Chithra |
| author_facet | K, Najiya V A V, Chithra |
| contents | Cospectral graphs are a fascinating concept in graph theory, where two non-isomorphic graphs possess identical sets of eigenvalues. In this paper, we compute the $A_α$-characteristic polynomial of neighbour and non-neighbour splitting join, neighbour and non-neighbour shadow join, central vertex and edge join and duplicate join of two graphs. In addition, when $\graphene_1$ and $\graphene_2$ are regular, we compute the $A_α$-spectrum of these graphs. As an application, we construct non-regular, non-isomorphic graphs that are $A_α$-cospectral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06715 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Construction of non-regular $A_α$-cospectral graphs from some join of graphs K, Najiya V A V, Chithra Combinatorics 05C50 Cospectral graphs are a fascinating concept in graph theory, where two non-isomorphic graphs possess identical sets of eigenvalues. In this paper, we compute the $A_α$-characteristic polynomial of neighbour and non-neighbour splitting join, neighbour and non-neighbour shadow join, central vertex and edge join and duplicate join of two graphs. In addition, when $\graphene_1$ and $\graphene_2$ are regular, we compute the $A_α$-spectrum of these graphs. As an application, we construct non-regular, non-isomorphic graphs that are $A_α$-cospectral. |
| title | Construction of non-regular $A_α$-cospectral graphs from some join of graphs |
| topic | Combinatorics 05C50 |
| url | https://arxiv.org/abs/2210.06715 |