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On the mixing rate of the triangulation walk (1999)

Abstract
Let T n denote the set of triangulations of a convex polygon K with n sides. We study the random walk on T n whose transitions are \ ips" of one of the n 3 internal diagonals of the current triangulation, the choice of diagonal being random. By bounding the conductance of this graph we show that the walk mixes rapidly, namely in time O(n 8

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.22.3417
Source http://www.cs.toronto.edu/~molloy/webpapers/triang.ps
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Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English
Relation 10.1.1.18.7079, 10.1.1.69.9742, 10.1.1.104.1091