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» New hook length formulas for binary trees
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EJC
2008
13 years 11 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang
JCT
2011
83views more  JCT 2011»
13 years 5 months ago
The weighted hook length formula
Abstract. Based on the ideas in [CKP], we introduce the weighted analogue of the branching rule for the classical hook length formula, and give two proofs of this result. The firs...
Ionut Ciocan-Fontanine, Matjaz Konvalinka, Igor Pa...
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
14 years 27 days ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa
ASIACRYPT
2003
Springer
14 years 4 months ago
New Parallel Domain Extenders for UOWHF
We present two new parallel algorithms for extending the domain of a UOWHF. The first algorithm is complete binary tree based construction and has less key length expansion than S...
Wonil Lee, Donghoon Chang, Sangjin Lee, Soo Hak Su...