Babai Numbers and Babai Spectra of Paths and Cycles
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909308570042368 |
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| author | Johnson, Peter Kaya, Celalettin Matzke, Ryan W. |
| author_facet | Johnson, Peter Kaya, Celalettin Matzke, Ryan W. |
| contents | We study Babai numbers and Babai $k$-spectra of paths and cycles. We completely determine the Babai numbers of paths $P_n$ for $n>1$ and $1 \leq k \leq n-1$, and the Babai $k$-spectra for $P_n$ when $1 \leq k \leq n/2$. We also completely determine Babai numbers and Babai $k$-spectra of all cycles $C_n$ for $k \in \{1,2\}$ and $n \geq 3$ if $k=1$ and $n > 3$ if $k=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Babai Numbers and Babai Spectra of Paths and Cycles Johnson, Peter Kaya, Celalettin Matzke, Ryan W. Combinatorics 05C12, 05C15, 05C38 We study Babai numbers and Babai $k$-spectra of paths and cycles. We completely determine the Babai numbers of paths $P_n$ for $n>1$ and $1 \leq k \leq n-1$, and the Babai $k$-spectra for $P_n$ when $1 \leq k \leq n/2$. We also completely determine Babai numbers and Babai $k$-spectra of all cycles $C_n$ for $k \in \{1,2\}$ and $n \geq 3$ if $k=1$ and $n > 3$ if $k=2$. |
| title | Babai Numbers and Babai Spectra of Paths and Cycles |
| topic | Combinatorics 05C12, 05C15, 05C38 |
| url | https://arxiv.org/abs/2409.04869 |