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» Genus and the Geometry of the Cut Graph
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CORR
2002
Springer
79views Education» more  CORR 2002»
13 years 5 months ago
Optimally cutting a surface into a disk
We consider the problem of cutting a subset of the edges of a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total...
Jeff Erickson, Sariel Har-Peled
SMA
2003
ACM
118views Solid Modeling» more  SMA 2003»
13 years 10 months ago
Graph based topological analysis of tessellated surfaces
In this paper a graph-based method is presented which not only characterizes topological classification of the tessellated surfaces but also simultaneously generates the substanti...
Tula Ram Ban, Dibakar Sen
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
IPCO
2008
91views Optimization» more  IPCO 2008»
13 years 6 months ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
JCT
2002
93views more  JCT 2002»
13 years 5 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour