We construct infinitely many connected, circulant digraphs of outdegree three that have no Hamiltonian circuit. All of our examples have an even number of vertices, and our examples are of two types: either every vertex in the digraph is adjacent to two diametrically opposite vertices, or every vert
Connectivity of circulant digraphs
β Scribed by Erik A. Van Doorn
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 255 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
An explicit expression is derived for the connectivity of circulant digraphs.
π SIMILAR VOLUMES
An infinite circulant digraph is a Cayley digraph of the cyclic group of Z of integers . Here we prove that the full automorphism group of any strongly connected infinite circulant digraph over minimal generating set is just the group of translations of Z . We also present some related conjectures .
Let G = ( V , A ) be a digraph with diameter D # 1. For a given integer 2 5 t 5 D , the t-distance connectivity K ( t ) of G is the minimum cardinality of an z --+ y separating set over all the pairs of vertices z, y which are a t distance d(z, y) 2 t. The t-distance edge connectivity X ( t ) of G i