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ORL
2007
82views more  ORL 2007»
13 years 7 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
ORDER
2008
91views more  ORDER 2008»
13 years 7 months ago
Construction of Some Uncountable 2-Arc-Transitive Bipartite Graphs
We give various constructions of uncountable arc-transitive bipartite graphs employing techniques from partial orders, starting with the cyclefree case, but generalizing to cases ...
Manfred Droste, Robert Gray, John K. Truss
GECCO
2008
Springer
140views Optimization» more  GECCO 2008»
13 years 9 months ago
A bivariate probabilistic model-building genetic algorithm for graph bipartitioning
We investigate a bi-variate probabilistic model-building GA for the graph bipartitioning problem. The graph bipartitioning problem is a grouping problem that requires some modifi...
Dirk Thierens
ARSCOM
2007
77views more  ARSCOM 2007»
13 years 8 months ago
Extremal bipartite graphs with high girth
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...
Camino Balbuena, Pedro García-Vázque...
DAM
2010
107views more  DAM 2010»
13 years 8 months ago
Codes from lattice and related graphs, and permutation decoding
Codes of length n2 and dimension 2n - 1 or 2n - 2 over the field Fp, for any prime p, that can be obtained from designs associated with the complete bipartite graph Kn,n and its l...
Jennifer D. Key, Bernardo Gabriel Rodrigues