Two Distinct Eigenvalues from a New Graph Product
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913640452456448 |
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| author | Culver, Eric Kempton, Mark |
| author_facet | Culver, Eric Kempton, Mark |
| contents | The parameter $q(G)$ of a graph $G$ is the minimum number of distinct eigenvalues of a symmetric matrix whose pattern is given by $G$. We introduce a novel graph product by which we construct new infinite families of graphs that achieve $q(G)=2$. Several graph families for which it is already known that $q(G)=2$ can also be thought of as arising from this new product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two Distinct Eigenvalues from a New Graph Product Culver, Eric Kempton, Mark Combinatorics 05C50 The parameter $q(G)$ of a graph $G$ is the minimum number of distinct eigenvalues of a symmetric matrix whose pattern is given by $G$. We introduce a novel graph product by which we construct new infinite families of graphs that achieve $q(G)=2$. Several graph families for which it is already known that $q(G)=2$ can also be thought of as arising from this new product. |
| title | Two Distinct Eigenvalues from a New Graph Product |
| topic | Combinatorics 05C50 |
| url | https://arxiv.org/abs/2501.04297 |