Sunlet factors for Cartesian products of cycles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917029244567552 |
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| author | Jervis, Henry Kainen, Paul C. |
| author_facet | Jervis, Henry Kainen, Paul C. |
| contents | A sunlet is a cycle with a pendant edge attached at each vertex of the cycle. For the bipartite toroidal grid graphs $C_{2n} \Box C_{2n}$, factorizations into sunlets are given by homomorphisms from disjoint unions of $s$ copies of a sunlet for $s \in \{1, n, n^2\}, n \geq 3$ such that edges are mapped bijectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18048 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sunlet factors for Cartesian products of cycles Jervis, Henry Kainen, Paul C. Combinatorics 05C60, 05C38, 05C62 G.2.2; F.1.1 A sunlet is a cycle with a pendant edge attached at each vertex of the cycle. For the bipartite toroidal grid graphs $C_{2n} \Box C_{2n}$, factorizations into sunlets are given by homomorphisms from disjoint unions of $s$ copies of a sunlet for $s \in \{1, n, n^2\}, n \geq 3$ such that edges are mapped bijectively. |
| title | Sunlet factors for Cartesian products of cycles |
| topic | Combinatorics 05C60, 05C38, 05C62 G.2.2; F.1.1 |
| url | https://arxiv.org/abs/2510.18048 |