𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Estimations for the number of cycles in a graph

✍ Scribed by Lutz Volkmann

Book ID
105459278
Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
379 KB
Volume
33
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the maximum number of cycles in a pla
On the maximum number of cycles in a planar graph
✍ R. E. L. Aldred; Carsten Thomassen πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 142 KB πŸ‘ 2 views

## Abstract Let __G__ be a graph on __p__ vertices with __q__ edges and let __r__ = __q__β€‰βˆ’β€‰__p__ = 1. We show that __G__ has at most ${15\over 16} 2^{r}$ cycles. We also show that if __G__ is planar, then __G__ has at most 2^__r__β€‰βˆ’β€‰1^ = __o__(2^__r__β€‰βˆ’β€‰1^) cycles. The planar result is best possib

On the number of hamilton cycles in a ra
On the number of hamilton cycles in a random graph
✍ C. Cooper; A. M. Frieze πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 576 KB

Let a random graph G be constructed by adding random edges one by one, starting with n isolated vertices. We show that with probability going to one as n goes to infinity, when G first has minimum degree two, it has at least (log n)('-')" distinct hamilton cycles for any fixed E > 0.

On the number of hamiltonian cycles in a
On the number of hamiltonian cycles in a maximal planar graph
✍ S. L. Hakimi; E. F. Schmeichel; C. Thomassen πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 243 KB πŸ‘ 2 views

## Abstract We consider the problem of the minimum number of Hamiltonian cycles that could be present in a Hamiltonian maximal planar graph on __p__ vertices. In particular, we construct a __p__‐vertex maximal planar graph containing exactly four Hamiltonian cycles for every __p__ β‰₯ 12. We also pro