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» On a generalization of Stickelberger's Theorem
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JCT
2007
79views more  JCT 2007»
14 years 9 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
15 years 1 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
15 years 3 months 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
14 years 9 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»
15 years 3 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...