Hamiltonicity in generalized quasi-dihedral groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914256334618624 |
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| author | Miraftab, Babak Stavropoulos, Konstantinos |
| author_facet | Miraftab, Babak Stavropoulos, Konstantinos |
| contents | Witte Morris showed in [21] that every connected Cayley graph of a finite (generalized) dihedral group has a Hamiltonian path. The infinite dihedral group is defined as the free product with amalgamation $\mathbb Z_2 \ast \mathbb Z_2$. We show that every connected Cayley graph of the infinite dihedral group has both a Hamiltonian double ray, and extend this result to all two-ended generalized quasi-dihedral groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_05484 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hamiltonicity in generalized quasi-dihedral groups Miraftab, Babak Stavropoulos, Konstantinos Combinatorics Group Theory Witte Morris showed in [21] that every connected Cayley graph of a finite (generalized) dihedral group has a Hamiltonian path. The infinite dihedral group is defined as the free product with amalgamation $\mathbb Z_2 \ast \mathbb Z_2$. We show that every connected Cayley graph of the infinite dihedral group has both a Hamiltonian double ray, and extend this result to all two-ended generalized quasi-dihedral groups. |
| title | Hamiltonicity in generalized quasi-dihedral groups |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2204.05484 |