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» New hook length formulas for binary trees
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EJC
2008
13 years 5 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»
12 years 12 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»
13 years 7 months 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
13 years 10 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...