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COMPGEOM
2005
ACM
14 years 11 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 9 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 8 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 9 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 3 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...