✦ LIBER ✦

Asymmetric Cycles

✍ Scribed by JOVANOVIC, BOYAN

Book ID: 111004646
Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 345 KB
Volume: 73
Category: Article
ISSN: 0034-6527
DOI: 10.1111/j.1467-937x.2006.00372.x

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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