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ORL
2007
82views more  ORL 2007»
13 years 4 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
IPL
2007
130views more  IPL 2007»
13 years 4 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente
TCS
2010
12 years 11 months ago
On the complexity of finding chordless paths in bipartite graphs and some interval operators in graphs and hypergraphs
In this paper we show that the problem of finding a chordless path between a vertex s and a vertex t containing a vertex v remains NP-complete in bipartite graphs, thereby strengt...
Mauro Mezzini
ECCC
2010
124views more  ECCC 2010»
12 years 11 months ago
A counterexample to the Alon-Saks-Seymour conjecture and related problems
Consider a graph obtained by taking an edge disjoint union of k complete bipartite graphs.
Hao Huang, Benny Sudakov
ICML
2004
IEEE
14 years 5 months ago
Solving cluster ensemble problems by bipartite graph partitioning
A critical problem in cluster ensemble research is how to combine multiple clusterings to yield a final superior clustering result. Leveraging advanced graph partitioning techniqu...
Xiaoli Zhang Fern, Carla E. Brodley