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RSA
2010
99views more  RSA 2010»
13 years 3 months ago
Hamiltonicity thresholds in Achlioptas processes
In this paper we analyze the appearance of a Hamilton cycle in the following random process. The process starts with an empty graph on n labeled vertices. At each round we are pre...
Michael Krivelevich, Eyal Lubetzky, Benny Sudakov
JCT
2011
90views more  JCT 2011»
12 years 11 months ago
Small subgraphs in random graphs and the power of multiple choices
The standard paradigm for online power of two choices problems in random graphs is the Achlioptas process. Here we consider the following natural generalization: Starting with G0 a...
Torsten Mütze, Reto Spöhel, Henning Thom...