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JCT
2006
75views more  JCT 2006»
14 years 9 months ago
New polytopes from products
We construct a new 2-parameter family Emn, m, n 3, of self-dual 2-simple and 2-simplicial 4-polytopes, with flexible geometric realisations. E44 is the 24-cell. For large m, n the...
Andreas Paffenholz
JCT
2006
77views more  JCT 2006»
14 years 9 months ago
There are uncountably many topological types of locally finite trees
Consider two locally finite rooted trees as equivalent if each of them is a topological minor of the other, with an embedding preserving the tree-order. Answering a question of va...
Lilian Matthiesen
JCT
2006
88views more  JCT 2006»
14 years 9 months ago
Multiplicative structures in additively large sets
Abstract. Previous research extending over a few decades has established that multiplicatively large sets (in any of several interpretations) must have substantial additive structu...
Mathias Beiglböck, Vitaly Bergelson, Neil Hin...
JCT
2006
89views more  JCT 2006»
14 years 9 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
JCT
2006
108views more  JCT 2006»
14 years 9 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,...