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JCT
2008
65views more  JCT 2008»
13 years 4 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
COMPGEOM
2009
ACM
13 years 11 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
FOCS
2002
IEEE
13 years 9 months ago
Global Information from Local Observation
We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph....
Itai Benjamini, László Lovász
IMAMS
2003
125views Mathematics» more  IMAMS 2003»
13 years 6 months ago
A Graph-Spectral Method for Surface Height Recovery
This paper describes a graph-spectral method for 3D surface integration. The algorithm takes as its input a 2D field of surface normal estimates, delivered, for instance, by a sh...
Antonio Robles-Kelly, Edwin R. Hancock
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 7 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri