Cayley hyper-digraphs and Cayley hypermaps
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916706491826176 |
|---|---|
| author | Yuan, Kai Wang, Yan |
| author_facet | Yuan, Kai Wang, Yan |
| contents | A Cayley hyper-digraph is a directed hypergraph that its automorphism group contains a subgroup acting regularly on vertices and a Cayley hypermap is a hypermap whose automorphism group contains a subgroup which induces regular action on the hypervertex set. In this paper, we study Cayley hyper-digraphs and construct Cayley hypermaps which have high level of symmetry. Our main goal is to present the general theory so as to make it clear to study Cayley hypermaps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_09561 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cayley hyper-digraphs and Cayley hypermaps Yuan, Kai Wang, Yan Combinatorics Group Theory 05C30, 05C65 A Cayley hyper-digraph is a directed hypergraph that its automorphism group contains a subgroup acting regularly on vertices and a Cayley hypermap is a hypermap whose automorphism group contains a subgroup which induces regular action on the hypervertex set. In this paper, we study Cayley hyper-digraphs and construct Cayley hypermaps which have high level of symmetry. Our main goal is to present the general theory so as to make it clear to study Cayley hypermaps. |
| title | Cayley hyper-digraphs and Cayley hypermaps |
| topic | Combinatorics Group Theory 05C30, 05C65 |
| url | https://arxiv.org/abs/2106.09561 |