𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Upper bounds on probability thresholds for asymmetric Ramsey properties

✍ Scribed by Yoshiharu Kohayakawa; Mathias Schacht; Reto Spöhel


Book ID
112187424
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
239 KB
Volume
44
Category
Article
ISSN
1042-9832

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Threshold functions for asymmetric Ramse
✍ Y. Kohayakawa; B. Kreuter 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 338 KB 👁 1 views

We consider the binomial random graph G and determine a sharp threshold p function for the edge-Ramsey property G ª C l 1 , . . . , C l r Ž . p for all l , . . . , l , where C l denotes the cycle of length l. As deterministic consequences of 1 r our results, we prove the existence of sparse graphs

A note on upper bounds for some Ramsey n
✍ Chiê Nara; Shun-ichi Tachibana 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 345 KB

We show that r(3, n) C(Z) -5 for n 2 13, and r(4, n)So(l') -1 for n 3 12.

Threshold functions for asymmetric Ramse
✍ Bernd Kreuter 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 668 KB

In this note we investigate Ramsey properties of random graphs. The threshold functions for symmetric Ramsey properties with respect to vertex colorings were determined by tuczak, Rucinski, and Voigt . As a generalization of this problem we consider asymmetric Ramsey properties and establish the val