Hamiltonian paths on 3-polytopes
β Scribed by P.R Goodey
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 522 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let us denote by G(m, n) the family of all simple 3-poiytopes having ,just two types of faces, m-gons and n-gons. J. Z&s [3] proved that G(5; k) contains non-Hamiltonian members for all k, k 3 11, and asked among others the folfowing question: Do there exist non-Hamiltonian members in any of the fam
## Abstract It is shown that any simple 3βpolytope, all of whose faces are triangles or hexagons, admits a hamiltonian circuit.
A hamiltonian square-path (-cycle) is one obtained from a hamiltonian path (cycle) by joining every pair of vertices of distance two in the path (cycle). Let G be a graph on n vertices with minimum degree $(G). Posa and Seymour conjectured that if $(G) 2 3 n, then G contains a hamiltonian square-cy