Remarks on Hamiltonian properties of powers of digraphs
✍ Scribed by Günter Schaar
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 322 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
Witte proved that every connected Cayley digraph of a p-group is hamiltonian. In this note we generalize Witte's result to connected vertex-primitive digraphs of prime-power order; namely, we prove that every connected vertex-primitive digraph of prime-power order is hamiltonian. Witte [6] proved t
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