๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Faces of diameter two on the Hamiltonian cycle polytype

โœ Scribed by Gerard Sierksma; Ruud H. Teunter; Gert A. Tijssen


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
401 KB
Volume
18
Category
Article
ISSN
0167-6377

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the number of Hamiltonian cycles in t
โœ Jan Kratochvil; Dainis Zeps ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 185 KB ๐Ÿ‘ 2 views

It is proved that if a planar triangulation different from K3 and K4 contains a Hamiltonian cycle, then it contains at least four of them. Together with the result of Hakimi, Schmeichel, and Thomassen [21, this yields that, for n 2 12, the minimum number of Hamiltonian cycles in a Hamiltonian planar

On the number of Hamiltonian cycles in t
โœ Carsten Thomassen ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 949 KB

The main results assert that the minimum number of Hamiltonian bypasses in a strong tournament of order n and the minimum number of Hamiltonian cycles in a 2-connected tournament of order n increase exponentially with n. Furthermore, the number of Hamiltonian cycles in a tournament increases at leas

Generalized hamiltonian circuits in the
โœ Douglas S. Jungreis ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 299 KB

We find necessary and sufficient conditions for the existence of a closed walk that traverses r vertices twice and the rest once in the Cayley digraph of 2, @ 2,. This is a generalization of the results known for r = 0 or 1. In 1978, Trotter and Erdos [3] gave a necessary and sufficient condition f

When the cartesian product of two direct
โœ Laurence E. Penn; David Witte ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 150 KB

We show that the Cartesian product Z, x Z, of two directed cycles is hypo-Hamiltonian (Hamiltonian) if and only if there is a pair of relatively prime positive integers m and n with ma + nb = ab -1 (ma + nb = ab). The result for hypo-Hamiltonian is new; that for Hamiltonian is known. These are speci

On the Approximation of Finding A(nother
โœ Cristina Bazgan; Miklos Santha; Zsolt Tuza ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

It is a simple fact that cubic Hamiltonian graphs have at least two Hamiltonian cycles. Finding such a cycle is NP-hard in general, and no polynomial-time algorithm is known for the problem of finding a second Hamiltonian cycle when one such cycle is given as part of the input. We investigate the co