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Lutz Warnke (University of Cambridge; Georgia Institute of Technology)
Thursday 29 September 2016, 11:00-12:00
The phase transition in the random d-process
- đ¤ Speaker: Lutz Warnke (University of Cambridge; Georgia Institute of Technology)
- đ Date & Time: Thursday 29 September 2016, 11:00 - 12:00
- đ Venue: Seminar Room 2, Newton Institute
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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