On the Construction of Regular Orthocryptogroups
β Scribed by Xiang Zhi Kong
- Book ID
- 106277389
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2002
- Tongue
- English
- Weight
- 207 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
A graph is said to be one-regular if its automorphism group acts regularly on the set of its arcs. A construction of an infinite family of infinite one-regular graphs of valency 4 is given. These graphs are Cayley graphs of almost abelian groups and hence of polynomial growth.
A construction is given for all the regular maps of type (3, 6} on the torus, with v vertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain "normal" Hamiltonian circuits. Using duality, the results may be applied for