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DAM
1998
61views more  DAM 1998»
13 years 9 months ago
On Trees and Noncrossing Partitions
We give a simple and natural proof of (an extension of) the identity P(k, l, n) = P2(k − 1, l − 1, n − 1). The number P(k, l, n) counts noncrossing partitions of {1, 2, . . ...
Martin Klazar
DAM
2006
81views more  DAM 2006»
13 years 10 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
DAM
2006
86views more  DAM 2006»
13 years 10 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
120views more  DAM 2006»
13 years 10 months ago
A bijection between permutations and floorplans, and its applications
A floorplan represents the relative relations between modules on an integrated circuit. Floorplans are commonly classified as slicing, mosaic, or general. Separable and Baxter per...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
DAM
2007
67views more  DAM 2007»
13 years 10 months ago
NP-completeness of generalized multi-Skolem sequences
A Skolem sequence is a sequence a1, a2, . . . , a2n (where ai ∈ A = {1, . . . , n}), each ai occurs exactly twice in the sequence and the two occurrences are exactly ai position...
Gustav Nordh