Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 820.05054
Autor: Erdös, Paul; Suen, Stephen; Winkler, Peter
Title: On the size of a random maximal graph. (In English)
Source: Random Struct. Algorithms 6, No.2-3, 309-318 (1995).
Review: The authors study a class of restricted random graph processes with main focus on the triangle avoidance process, improving by the factor of 3 a lower bound on the Ramsey number R(3,k). Recently, using similar ideas, J.H.Kim settled the value of R(3,k) asymptotically [Random Struct. Algorithms 7, No.3, 173-207 (1995; Zbl 832.05084)].
Reviewer: A.Rucinski (Poznan)
Classif.: * 05C80 Random graphs
05C55 Generalized Ramsey theory
Keywords: Ramsey number R(3,k); random graph; triangle avoidance process
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