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On a class of Hamiltonian polytopes

✍ Scribed by Stanislav Jendrol̆; Peter Mihók


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
652 KB
Volume
71
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


A class of Hamiltonian polytopes
✍ P. R. Goodey 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB

## Abstract It is shown that any simple 3‐polytope, all of whose faces are triangles or hexagons, admits a hamiltonian circuit.

Note on two problems of J. Zaks concerni
✍ Hansjoachim Walther 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 313 KB

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

On a class of Hamiltonian laceable 3-reg
✍ Brian Alspach; C.C. Chen; Kevin McAvaney 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 741 KB

Using the concept of brick-products, Alspach and Zhang showed in that all cubic Cayley graphs over dihedral groups are Hamiltonian. It is also conjectured that all brick-products C(2n, m, r) are Hamiltonian laceable, in the sense that any two vertices at odd distance apart can be joined by a Hamilt