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COMBINATORICS
2002
99views more  COMBINATORICS 2002»
14 years 9 months ago
A Generalization of Simion-Schmidt's Bijection for Restricted Permutations
We consider the two permutation statistics which count the distinct pairs obtained from the final two terms of occurrences of patterns 1
Astrid Reifegerste
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COMBINATORICS
2002
89views more  COMBINATORICS 2002»
14 years 9 months ago
A Concise Proof of the Littlewood-Richardson Rule
We give a short proof of the Littlewood-Richardson rule using a sign-reversing involution.
John R. Stembridge
COMBINATORICS
1998
63views more  COMBINATORICS 1998»
14 years 9 months ago
On Kissing Numbers in Dimensions 32 to 128
An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128.
Yves Edel, Eric M. Rains, Neil J. A. Sloane
COMBINATORICS
1998
88views more  COMBINATORICS 1998»
14 years 9 months ago
A Bijective Proof of Garsia's q-Lagrange Inversion Theorem
A q-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
Dan W. Singer
COMBINATORICS
1999
98views more  COMBINATORICS 1999»
14 years 9 months ago
On the Structure and Classification of SOMAs: Generalizations of Mutually Orthogonal Latin Squares
Let k 0 and n 2 be integers. A SOMA, or more specifically a SOMA(k, n), is an n
Leonard H. Soicher