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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.03225 |
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| _version_ | 1866910318792278016 |
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| author | Arizmendi, Octavio Sigarreta, Saylé |
| author_facet | Arizmendi, Octavio Sigarreta, Saylé |
| contents | In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: the energy decreases for vertices located at odd distances and increases for those located at even distances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The change of vertex energy when joining trees Arizmendi, Octavio Sigarreta, Saylé Spectral Theory Combinatorics 05C05, 05C09 In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: the energy decreases for vertices located at odd distances and increases for those located at even distances. |
| title | The change of vertex energy when joining trees |
| topic | Spectral Theory Combinatorics 05C05, 05C09 |
| url | https://arxiv.org/abs/2402.03225 |