76 citations · 533 across the 32 of their papers we have counts for
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math.PR2011★ 4 cited
Convergence of Achlioptas processes via differential equations with unique solutions
Oliver Riordan, Lutz Warnke
In Achlioptas processes, starting from an empty graph, in each step two potential edges are chosen uniformly at random, and using some rule one of them is selected and added to the…
math.PR2011★ 76 cited
Achlioptas process phase transitions are continuous
Oliver Riordan, Lutz Warnke
It is widely believed that certain simple modifications of the random graph process lead to discontinuous phase transitions. In particular, starting with the empty graph on ver…