𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Estimates on the size of the cycle spectra of Hamiltonian graphs

✍ Scribed by Bahls, Patrick; Kutler, Lauren; Mousley, Sarah


Book ID
120652420
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
391 KB
Volume
313
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Cycle spectra of Hamiltonian graphs
✍ Kevin G. Milans; Florian Pfender; Dieter Rautenbach; Friedrich Regen; Douglas B. πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 152 KB
On the Approximation of Finding A(nother
✍ Cristina Bazgan; Miklos Santha; Zsolt Tuza πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 144 KB πŸ‘ 1 views

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

Cyclic Hamiltonian cycle systems of the
✍ Marco Buratti; Alberto Del Fra πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 251 KB

We prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and only if k is odd but k = 15 and p with p prime and ΒΏ 1. As a consequence we have the existence of a cyclic k-cycle system of the complete graph on km vertices for any pair (k; m) of odd integers with k as abo

On hamiltonian cycles in the prism over
✍ LetΓ­cia R. Bueno; Peter HorΓ‘k πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 137 KB πŸ‘ 2 views

The Kneser graph K (n, k) has as its vertex set all k-subsets of an n-set and two k-subsets are adjacent if they are disjoint. The odd graph O k is a special case of Kneser graph when n = 2k +1. A long standing conjecture claims that O k is hamiltonian for all k>2. We show that the prism over O k is