The question of when a given graph can be the underlying graph of a regular map has roots a hundred years old and is currently the object of several threads of research. This paper outlines this topic briefly and proves that a product of graphs which have regular embeddings also has such an embeddin
A family of resolvable regular graph designs
β Scribed by Donald L. Kreher; Gordon F. Royle; W.D. Wallis
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 278 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A regular graph design RGD (v, k; r) is a design on v points with blocks of size k and constant replication number r, such that any two points belong to either )~1 or 21 + 1 common blocks, for some constant 2~. We investigate resolvable regular graph designs with block size 4. In particular we determine the parameters for which such designs exist, for v ~< 16.
π SIMILAR VOLUMES
## Abstract We apply symmetric balanced generalized weighing matrices with zero diagonal to construct four parametrically new infinite families of strongly regular graphs. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 208β217, 2003; Published online in Wiley InterScience (www.interscience.wil
## Abstract A method of constructing resolvable nested 3βdesigns from an affine resolvable 3βdesign is proposed with one example. Β© 2004 Wiley Periodicals, Inc.