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
On 1-factorizability of Cayley graphs
β Scribed by Richard A Stong
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 757 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
A Cayley graph Cay(G, S) of a group G is called a CI-graph if whenever T is another subset of G for which Cay(G, S) βΌ = Cay(G, T ), there exists an automorphism Ο of G such that S Ο = T . For a positive integer m, the group G is said to have the m-CI property if all Cayley graphs of G of valency m a
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