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» Minimum Cycle Bases in Graphs Algorithms and Applications
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ICCV
2007
IEEE
14 years 7 months ago
Introducing Curvature into Globally Optimal Image Segmentation: Minimum Ratio Cycles on Product Graphs
While the majority of competitive image segmentation methods are based on energy minimization, only few allow to efficiently determine globally optimal solutions. A graphtheoretic...
Thomas Schoenemann, Daniel Cremers
STACS
2005
Springer
13 years 10 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn
CORR
2011
Springer
188views Education» more  CORR 2011»
13 years 11 days ago
Planar Cycle Covering Graphs
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
Julian Yarkony, Alexander T. Ihler, Charless C. Fo...
ICALP
2004
Springer
13 years 10 months ago
A Faster Algorithm for Minimum Cycle Basis of Graphs
Abstract. In this paper we consider the problem of computing a minimum cycle basis in a graph G with m edges and n vertices. The edges of G have non-negative weights on them. The p...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
COMPGEOM
2009
ACM
13 years 12 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri