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COMBINATORICS
1998
80views more  COMBINATORICS 1998»
13 years 5 months ago
Increasing Subsequences and the Classical Groups
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
Eric M. Rains
COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 5 months ago
Permutations Without Long Decreasing Subsequences and Random Matrices
We study the shape of the Young diagram λ associated via the Robinson– Schensted–Knuth algorithm to a random permutation in Sn such that the length of the longest decreasing ...
Piotr Sniady
CAAP
1992
13 years 9 months ago
Varieties of Increasing Trees
We extend results about heights of random trees (Devroye, 1986, 1987, 1998b). In this paper, a general split tree model is considered in which the normalized subtree sizes of node...
François Bergeron, Philippe Flajolet, Bruno...
INFOCOM
2006
IEEE
13 years 11 months ago
Optimal Hopping in Ad Hoc Wireless Networks
— Gupta and Kumar showed that throughput in a static random wireless network increases with the amount of hopping. In a subsequent paper (2004), it was shown that although throug...
Abbas El Gamal, James P. Mammen