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JCT
2006
108views more  JCT 2006»
13 years 11 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 11 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 11 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 11 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 11 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 11 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 11 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