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COMBINATORICS
2006
130views more  COMBINATORICS 2006»
15 years 3 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
15 years 9 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
PR
2000
153views more  PR 2000»
15 years 3 months ago
A region-level motion-based graph representation and labeling for tracking a spatial image partition
This paper addresses two image sequence analysis issues under a common framework. These tasks are, "rst, motion-based segmentation and second, updating and tracking over time...
Marc Gelgon, Patrick Bouthemy
JMLR
2012
13 years 6 months ago
Globally Optimizing Graph Partitioning Problems Using Message Passing
Graph partitioning algorithms play a central role in data analysis and machine learning. Most useful graph partitioning criteria correspond to optimizing a ratio between the cut a...
Elad Mezuman, Yair Weiss
ORL
2007
82views more  ORL 2007»
15 years 3 months ago
The path partition problem and related problems in bipartite graphs
We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some ap...
Jérôme Monnot, Sophie Toulouse