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MOC
1998
65views more  MOC 1998»
15 years 7 months ago
Solving constrained Pell equations
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
Kiran S. Kedlaya
TIT
2002
88views more  TIT 2002»
15 years 7 months ago
Duality between channel capacity and rate distortion with two-sided state information
We show that the duality between channel capacity and data compression is retained when state information is available to the sender, to the receiver, to both, or to neither. We pr...
Thomas M. Cover, Mung Chiang
JGT
2010
103views more  JGT 2010»
15 years 6 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
JGT
2010
103views more  JGT 2010»
15 years 6 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu
JUCS
2010
107views more  JUCS 2010»
15 years 6 months ago
Algebras and Update Strategies
: The classical (Bancilhon-Spyratos) correspondence between view update translations and views with a constant complement reappears more generally as the correspondence between upd...
Michael Johnson, Robert D. Rosebrugh, Richard Wood