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» On Generalized Schur Numbers
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DAM
2008
135views more  DAM 2008»
15 years 6 months ago
Edge ranking and searching in partial orders
: We consider a problem of searching an element in a partially ordered set (poset). The goal is to find a search strategy which minimizes the number of comparisons. Ben-Asher, Farc...
Dariusz Dereniowski
EJC
2010
15 years 6 months ago
Bijections for a class of labeled plane trees
We consider plane trees whose vertices are given labels from the set {1, 2, . . . , k} in such a way that the sum of the labels along any edge is at most k + 1; it turns out that ...
Nancy S. S. Gu, Helmut Prodinger, Stephan Wagner
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
15 years 6 months ago
The Induced Subgraph Order on Unlabelled Graphs
A differential poset is a partially ordered set with raising and lowering operators U and D which satisfy the commutation relation DU-UD = rI for some constant r. This notion may ...
Craig A. Sloss
CORR
2006
Springer
127views Education» more  CORR 2006»
15 years 6 months ago
Approximating Rate-Distortion Graphs of Individual Data: Experiments in Lossy Compression and Denoising
Classical rate-distortion theory requires knowledge of an elusive source distribution. Instead, we analyze rate-distortion properties of individual objects using the recently devel...
Steven de Rooij, Paul M. B. Vitányi
CORR
2006
Springer
151views Education» more  CORR 2006»
15 years 6 months ago
Combining decision procedures for the reals
Abstract. We address the general problem of determining the validity of boolean combinations of equalities and inequalities between real-valued expressions. In particular, we consi...
Jeremy Avigad, Harvey Friedman