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» Minimum Cycle Bases in Graphs Algorithms and Applications
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ICCV
2007
IEEE
16 years 2 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
110
Voted
STACS
2005
Springer
15 years 5 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»
14 years 7 months 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
15 years 5 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...
94
Voted
COMPGEOM
2009
ACM
15 years 6 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