Quadratic Embedding Constants of Strongly Regular Graphs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910769473388544 |
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| author | Obata, Nobuaki |
| author_facet | Obata, Nobuaki |
| contents | We obtain an explicit formula for the quadratic embedding constant (QEC) of a strongly regular graph $\mathrm{srg}(n,k,λ,μ)$ with $μ\ge1$. By using QEC we give a necessary and sufficient condition for a strongly regular graph to admit a quadratic embeddingin a Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quadratic Embedding Constants of Strongly Regular Graphs Obata, Nobuaki Combinatorics 05C50, 05C12, 05C76 We obtain an explicit formula for the quadratic embedding constant (QEC) of a strongly regular graph $\mathrm{srg}(n,k,λ,μ)$ with $μ\ge1$. By using QEC we give a necessary and sufficient condition for a strongly regular graph to admit a quadratic embeddingin a Euclidean space. |
| title | Quadratic Embedding Constants of Strongly Regular Graphs |
| topic | Combinatorics 05C50, 05C12, 05C76 |
| url | https://arxiv.org/abs/2501.01020 |