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DAM
2007
82views more  DAM 2007»
13 years 8 months ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...
Baogang Xu, Haihui Zhang
DAM
2006
86views more  DAM 2006»
13 years 8 months ago
Sub-dominant theory in numerical taxonomy
Sub-dominant theory provides efficient tools for clustering. However it classically works only for ultrametrics and ad hoc extensions like Jardine and Sibson's 2ultrametrics....
François Brucker
DAM
2006
89views more  DAM 2006»
13 years 8 months ago
First vs. best improvement: An empirical study
When applying the 2-opt heuristic to the travelling salesman problem, selecting the best improvement at each iteration gives worse results on average than selecting the first impr...
Pierre Hansen, Nenad Mladenovic
DAM
2006
136views more  DAM 2006»
13 years 8 months ago
The complexity of maximum matroid-greedoid intersection and weighted greedoid maximization,
The maximum intersection problem for a matroid and a greedoid, given by polynomialtime oracles, is shown NP-hard by expressing the satisfiability of boolean formulas in 3-conjunct...
Taneli Mielikäinen, Esko Ukkonen
DAM
2006
81views more  DAM 2006»
13 years 8 months ago
The satisfactory partition problem
The Satisfactory Partition problem consists in deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neigh...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten