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JCT
2007
83views more  JCT 2007»
14 years 11 months ago
A finiteness theorem for Markov bases of hierarchical models
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimen...
Serkan Hosten, Seth Sullivant
JCT
2007
107views more  JCT 2007»
14 years 11 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...
JCT
2007
112views more  JCT 2007»
14 years 11 months ago
On generalized Kneser hypergraph colorings
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
Carsten E. M. C. Lange, Günter M. Ziegler
JCT
2000
110views more  JCT 2000»
14 years 11 months ago
Unordered Canonical Ramsey Numbers
Following ideas of Richer (2000) we introduce the notion of unordered regressive Ramsey numbers or unordered Kanamori-McAloon numbers. We show that these are of Ackermannian growt...
Duncan C. Richer
JCT
2007
112views more  JCT 2007»
14 years 11 months ago
Bruhat intervals as rooks on skew Ferrers boards
We characterise the permutations π such that the elements in the closed lower Bruhat interval [id,π] of the symmetric group correspond to non-taking rook configurations on a sk...
Jonas Sjöstrand