The high order spectral extrema of $2K_r$-free graphs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911611840626688 |
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| author | Bu, Changjiang Sun, Yifan Zeng, Haotian |
| author_facet | Bu, Changjiang Sun, Yifan Zeng, Haotian |
| contents | In this paper, we determine the graphs with maximum value of the sum number from $k$-clique spectral radius to $(2r-1)$-clique spectral radius among all $2K_{r}$-free graphs on $n$ vertices for $ r\le k$ and large $n$. We also determine the graphs with maximum $3$-clique spectral radius among all $2K_{3}$-free graphs on $n$ vertices. Our results are spectral versions of some results on generalized Turán numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The high order spectral extrema of $2K_r$-free graphs Bu, Changjiang Sun, Yifan Zeng, Haotian Combinatorics In this paper, we determine the graphs with maximum value of the sum number from $k$-clique spectral radius to $(2r-1)$-clique spectral radius among all $2K_{r}$-free graphs on $n$ vertices for $ r\le k$ and large $n$. We also determine the graphs with maximum $3$-clique spectral radius among all $2K_{3}$-free graphs on $n$ vertices. Our results are spectral versions of some results on generalized Turán numbers. |
| title | The high order spectral extrema of $2K_r$-free graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.19409 |