𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit distributions of the number of cycles of given length in a random permutation with given number of cycles

✍ Scribed by Cherepanova, E. V.


Book ID
120137496
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2003
Tongue
English
Weight
120 KB
Volume
13
Category
Article
ISSN
0924-9265

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Nonseparable graphs with a given number
✍ Ranko Ε Δ‡epanoviΔ‡; Gerhard Ringel; Dragan MaruΕ‘ič; G. L. Chia; Brian Alspach πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 646 KB

## Abstract G. Ringel conjectured that for every positive integer __n__ other than 2, 4, 5, 8, 9, and 16, there exists a nonseparable graph with __n__ cycles. It is proved here that the conjecture is true even with the restriction to planar and hamiltonian graphs.

The number of cycle lengths in graphs of
✍ P. ErdΕ‘s; R.J. Faudree; C.C. Rousseau; R.H. Schelp πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 333 KB

This paper determines lower bounds on the number of different cycle lengths in a graph of given minimum degree k and girth g. The most general result gives a lower bound of ck ~.