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DLT
2009
15 years 4 months ago
On the Complexity of Deciding Avoidability of Sets of Partial Words
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
Brandon Blakeley, Francine Blanchet-Sadri, Josh Gu...
FOCS
2009
IEEE
16 years 1 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma
JCT
2008
53views more  JCT 2008»
15 years 6 months ago
A major index for matchings and set partitions
We introduce a statistic pmaj(P) for partitions of [n], and show that it is equidistributed with cr2, the number of 2-crossings, over all partitions of [n] with given sets of mini...
William Y. C. Chen, Ira M. Gessel, Catherine H. Ya...
DM
2011
188views Education» more  DM 2011»
15 years 1 months ago
Singletons and adjacencies of set partitions of type B
We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type Bn without zero-block, in analo...
William Y. C. Chen, David G. L. Wang
AMAI
2004
Springer
15 years 11 months ago
A Framework for Sequential Planning in Multi-Agent Settings
This paper extends the framework of partially observable Markov decision processes (POMDPs) to multi-agent settings by incorporating the notion of agent models into the state spac...
Piotr J. Gmytrasiewicz, Prashant Doshi