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» On a generalization of Stickelberger's Theorem
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JCT
2007
79views more  JCT 2007»
13 years 6 months ago
Generalization of Stanley's monster reciprocity theorem
By studying the reciprocity property of linear Diophantine systems in light of Malcev-Neumann series, we present in this paper a new approach to and a generalization of Stanley’s...
Guoce Xin
COMPGEOM
2007
ACM
13 years 10 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
FOCS
2006
IEEE
14 years 23 days ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
AMAI
2006
Springer
13 years 6 months ago
A generalization of the Lin-Zhao theorem
The theorem on loop formulas due to Fangzhen Lin and Yuting Zhao shows how to turn a logic program into a propositional formula that describes the program's stable models. In...
Paolo Ferraris, Joohyung Lee, Vladimir Lifschitz
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 1 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...