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JCT
2007
107views more  JCT 2007»
15 years 6 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...
TWC
2008
131views more  TWC 2008»
15 years 6 months ago
Asymptotic Ergodic Capacity of Multidimensional Vector-Sensor Array MIMO Channels
Abstract--We analyze asymptotic ergodic capacity of multidimensional vector-sensor array MIMO (PMD-MIMO) channels established by the use of dual-polarized antennas in the form of 1...
Özgür Ertug
COMBINATORICS
1998
42views more  COMBINATORICS 1998»
15 years 6 months ago
On Noncrossing and Nonnesting Partitions for Classical Reflection Groups
The number of noncrossing partitions of {1, 2, . . . , n} with fixed block sizes has a simple closed form, given by Kreweras, and coincides with the corresponding number for nonne...
Christos A. Athanasiadis
DM
1999
73views more  DM 1999»
15 years 6 months ago
Enumeration of mosaics
Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of "enumeration under finite group actions" are applied f...
Harald Fripertinger
RSA
1998
53views more  RSA 1998»
15 years 6 months ago
Recursive reconstruction on periodic trees
A periodic tree Tn consists of full n-level copies of a finite tree T. The tree Tn is labeled by random bits. The root label is chosen randomly, and the probability of two adjace...
Elchanan Mossel