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RSA
2011
131views more  RSA 2011»
14 years 3 months ago
On covering by translates of a set
Abstract. In this paper we study the minimal number τ(S, G) of translates of an arbitrary subset S of a group G needed to cover the group, and related notions of the efficiency of...
Béla Bollobás, Svante Janson, Oliver...
CORR
2008
Springer
151views Education» more  CORR 2008»
14 years 9 months ago
Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
Sören Laue
CCCG
2001
14 years 10 months ago
Translational polygon covering using intersection graphs
We investigate the following translational 2D polygon covering problem: for a collection of covering polygons and a target point (or polygon) set, decide if the covering polygons ...
Karen Daniels, Rajasekhar Inkulu
ITP
2010
165views Mathematics» more  ITP 2010»
15 years 1 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp