𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Retracts of the Random Graph and Their Natural Order

✍ Scribed by Anthony Bonato


Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
103 KB
Volume
135
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the average genus of the random graph
✍ Saul Stahl πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 640 KB

## Abstract We obtain an upper bound on the expected number of regions in the randomly chosen orientable embedding of a fixed graph. This bound is ised to show that the average genus of the random graph on __v__ vertices is close to its maximum genus. More specifically, it is proven that the differ

On the variance of the random sphere of
✍ P. Hitczenko; S. Janson; J. E. Yukich πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 219 KB πŸ‘ 2 views

We show that the variance of the number of edges in the random sphere of influence graph built on n i.i.d. sites which are uniformly distributed over the unit cube in R d , grows linearly with n. This is then used to establish a central limit theorem for the number of edges in the random sphere of i