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COMBINATORICA
2010
13 years 2 months ago
2010
We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.
COMBINATORICA
2010
13 years 2 months ago
2010
For finite sets of integers A1, A2 . . . An we study the cardinality of the n-fold sumset A1 +
COMBINATORICA
2010
12 years 12 months ago
2010
Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m
COMBINATORICA
2010
13 years 2 months ago
2010
Recently Kamiyama, Katoh, and Takizawa have shown a theorem on packing arc-disjoint arborescences that is a proper extension of Edmonds' theorem on disjoint spanning branchin...
COMBINATORICA
2010
13 years 2 months ago
2010
For each k 2, let k (0, 1) be the largest number such that there exist k-uniform hypergraphs on n vertices with independent neighborhoods and (k + o(1)) n k edges as n . We pro...