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» A Combinatorial Theorem for Trees
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TCS
2010
13 years 4 months ago
A combinatorial approach to the analysis of bucket recursive trees
In this work we provide a combinatorial analysis of bucket recursive trees, which have been introduced previously as a natural generalization of the growth model of recursive trees...
Markus Kuba, Alois Panholzer
RANDOM
1997
Springer
13 years 10 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra
JCO
2006
128views more  JCO 2006»
13 years 6 months ago
A combinatorial theorem on labeling squares with points and its application
In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squar...
Binhai Zhu, Minghui Jiang
JSYML
2007
100views more  JSYML 2007»
13 years 6 months ago
Combinatorial principles weaker than Ramsey's Theorem for pairs
We investigate the complexity of various combinatorial theorems about linear and partial orders, from the points of view of computability theory and reverse mathematics. We focus ...
Denis R. Hirschfeldt, Richard A. Shore
ISNN
2005
Springer
13 years 11 months ago
One-Bit-Matching ICA Theorem, Convex-Concave Programming, and Combinatorial Optimization
Recently, a mathematical proof is obtained in (Liu, Chiu, Xu, 2004) on the so called one-bit-matching conjecture that all the sources can be separated as long as there is an one-to...
Lei Xu