In Preparation Submitted To Appear Published In Preparation 1. Random Sum Graphs In preparation. Submitted 2. Memoryless Rules for Achlioptas Processes (with Tom Bohman, Alan Frieze and Oleg Pikhurko.) Submitted. 3. On the Connectivity of Extremal Ramsey Graphs (with Oleg Pikhurko.) Submitted. 4. Stopping rule reversal for finite Markov chains (with László Lovász.) Submitted. 5. Centers for random walks on trees Submitted. Published 6. Product rule wins a competitive game (with Tom Bohman, Alan Frieze and Oleg Pikhurko.) Proceedings of the AMS, Volume 135, No. 10 (2007), 3061-3071. 7. Random minimum length spanning trees in regular graphs (with Alan Frieze and Colin McDiarmid.) Combinatorica 18 (1998), 311-333. 8. Random walks and the regeneration time (with László Lovász.) J. Graph Theory 29 (1998) 57-62.