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» Proof of a conjecture on fractional Ramsey numbers
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JGT
2010
103views more  JGT 2010»
13 years 5 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
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 7 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for...
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
FCT
2003
Springer
14 years 1 days ago
On Boundaries of Highly Visible Spaces and Applications
The purpose of this paper is to investigate the properties of a certain class of highly visible spaces. For a given geometric space C containing obstacles specified by disjoint s...
John H. Reif, Zheng Sun