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COMPGEOM
2005
ACM
15 years 1 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres in R3
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen
CORR
2007
Springer
119views Education» more  CORR 2007»
14 years 11 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
SAGT
2010
Springer
156views Game Theory» more  SAGT 2010»
14 years 10 months ago
Partition Equilibrium Always Exists in Resource Selection Games
Abstract. We consider the existence of Partition Equilibrium in Resource Selection Games. Super-strong equilibrium, where no subset of players has an incentive to change their stra...
Elliot Anshelevich, Bugra Caskurlu, Ameya Hate
JCP
2007
104views more  JCP 2007»
14 years 11 months ago
Cyclic Convolution Algorithm Formulations Using Polynomial Transform Theory
— This work presents a mathematical framework for the development of efficient algorithms for cyclic convolution computations. The framework is based on the Chinese Reminder Theo...
Abraham H. Diaz-Perez, Domingo Rodríguez
ICALP
2007
Springer
15 years 5 months ago
Model Theory Makes Formulas Large
Gaifman’s locality theorem states that every first-order sentence is equivalent to a local sentence. We show that there is no elementary bound on the length of the local sentenc...
Anuj Dawar, Martin Grohe, Stephan Kreutzer, Nicole...