𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Construction of Infinite Families of Regular Cayley Maps

✍ Scribed by Robert Jajcay

Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
176 KB
Volume
18
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Constructing an Infinite Family of Cubic
Constructing an Infinite Family of Cubic 1-Regular Graphs
✍ Yan-Quan Feng; Jin Ho Kwak πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 89 KB

A graph is 1-regular if its automorphism group acts regularly on the set of its arcs. Miller [J. Comb. Theory, B, 10 (1971), 163-182] constructed an infinite family of cubic 1-regular graphs of order 2 p, where p β‰₯ 13 is a prime congruent to 1 modulo 3. MaruΕ‘ič and Xu [J. Graph Theory, 25 (1997), 13

Construction and enumeration of regular
Construction and enumeration of regular maps on the torus
✍ Amos Altshuler πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 652 KB

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