A note on Cayley graphs
β Scribed by Marston Conder
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 483 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The aim of this note is to present a short proof of a result of Nedela and S8 koviera (J. Graph Theory 19 (1995, 1 11)) concerning those generalized Petersen graphs that are also Cayley graphs. In that paper the authors chose the heavy weaponry of regular maps on closed connected orientable surfaces
We address various channel assignment problems on the Cayley graphs of certain groups, computing the frequency spans by applying group theoretic techniques. In particular, we show that if G is the Cayley graph of an n-generated group with a certain kind of presentation, then (G; k, 1) β€ 2(k +n-1). F
A graph G is said to be hom-idempotent if there is a homomorphism from G 2 to G, and weakly hom-idempotent if for some n β₯ 1 there is a homomorphism from G n+1 to G n . We characterize both classes of graphs in terms of a special class of Cayley graphs called normal Cayley graphs. This allows us to
The issue of when two Cayley digraphs on different abelian groups of prime power order can be isomorphic is examined. This had previously been determined by Anne Joseph for squares of primes; her results are extended.