Algorithms, Combinatorics and Optimization Seminar Lutz Warnke
Georgia Tech
Title: The phase transition in the random d-process

Abstract: One of the most interesting features of Erdös–Rényi random graphs is the `percolation phase transition', where the global structure intuitively changes from only small components to a single giant component plus small ones. In this talk we discuss the percolation phase transition in the random d-process, which corresponds to a natural algorithmic model for generating random regular graphs that differs from the usual configuration model (starting with an empty graph on n vertices, the random d-process evolves by sequentially adding new random edges so that the maximum degree remains at most d). Our results on the phase transition solve a problem of Wormald from 1997, and verify a conjecture of Balinska and Quintas from 1990.

Based on joint work with Nick Wormald.

Date: Thursday, February 9, 2017
Time: 3:30 pm
Location: Wean Hall 8220
Note: Before the talk, at 3:10 pm, there will be tea and cookies in Wean Hall 6220.