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COMBINATORICS
1998
80views more  COMBINATORICS 1998»
14 years 9 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»
14 years 9 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
15 years 1 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
15 years 3 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