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JCT
2006
108views more  JCT 2006»
13 years 5 months ago
Jack van Lint (1932-2004): A survey of his scientific work
When Jack van Lint was appointed as full professor at the Eindhoven University of Technology at the age of 26 he combined a PhD in number theory with a very open scientific mind. ...
Bram Van Asch, Aart Blokhuis, Henk D. L. Hollmann,...
JCT
2006
52views more  JCT 2006»
13 years 5 months ago
Further combinatorial constructions for optimal frequency-hopping sequences
Frequency-hopping multiple-access (FHMA) spread spectrum communication systems employing multiple frequency shift keying as data modulation technique were investigated by Fuji-Har...
Gennian Ge, Ryoh Fuji-Hara, Ying Miao
JCT
2006
53views more  JCT 2006»
13 years 5 months ago
On the number of factorizations of a full cycle
We give a new expression for the number of factorizations of a full cycle into an ordered product of permutations of specified cycle types. This is done through purely algebraic me...
John Irving
JCT
2006
75views more  JCT 2006»
13 years 5 months ago
Sperner labellings: A combinatorial approach
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
Frédéric Meunier
JCT
2006
60views more  JCT 2006»
13 years 5 months ago
Alternating sign matrices with one -1 under vertical reflection
We define a bijection that transforms an alternating sign matrix A with one -1 into a pair (N, E) where N is a (so called) neutral alternating sign matrix (with one -1) and E is an...
Pierre Lalonde
JCT
2006
79views more  JCT 2006»
13 years 5 months ago
Reciprocity for multirestricted Stirling numbers
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set into a given number of parts, each part being restricted to at most a fixed number...
Ji Young Choi, Ling Long, Siu-Hung Ng, Jonathan Sm...
JCT
2006
89views more  JCT 2006»
13 years 5 months ago
Revlex-initial 0/1-polytopes
We introduce revlex-initial 0/1-polytopes as the convex hulls of reverse-lexicographically initial sets of 0/1-vectors. Thus for each n 2d , we consider the 0/1-knapsack polytope ...
Rafael Gillmann, Volker Kaibel