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» The degree structure of Weihrauch-reducibility
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STOC
2010
ACM
228views Algorithms» more  STOC 2010»
14 years 5 months ago
On the Structure of Cubic and Quartic Polynomials
In this paper we study the structure of polynomials of degree three and four that have high bias or high Gowers norm, over arbitrary prime fields. In particular we obtain the foll...
Elad Haramaty and Amir Shpilka
INFOCOM
2008
IEEE
14 years 2 months ago
BAKE: A Balanced Kautz Tree Structure for Peer-to-Peer Networks
Abstract—In order to improve scalability and reduce maintenance overhead for structured Peer-to-Peer systems, researchers design optimal architectures with constant degree and lo...
Deke Guo, Yunhao Liu, Xiang-Yang Li
EJC
2007
13 years 7 months ago
The structure of the 3-separations of 3-connected matroids II
The authors showed in an earlier paper that there is a tree that displays, up to a natural equivalence, all non-trivial 3-separations of a 3-connected matroid. The purpose of this ...
James G. Oxley, Charles Semple, Geoff Whittle
AML
2010
91views more  AML 2010»
13 years 7 months ago
The limitations of cupping in the local structure of the enumeration degrees
Abstract We prove that a sequence of sets containing representatives of cupping partners for every nonzero 0 2 enumeration degree cannot have a 0 2 enumeration. We also prove that ...
Mariya Ivanova Soskova
JCSS
2007
75views more  JCSS 2007»
13 years 7 months ago
Undecidability of the structure of the Solovay degrees of c.e. reals
We show that the elementary theory of the structure of the Solovay degrees of computably enumerable reals is undecidable.
Rodney G. Downey, Denis R. Hirschfeldt, Geoffrey L...