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RSA
2011
131views more  RSA 2011»
12 years 11 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»
13 years 4 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
13 years 6 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»
13 years 8 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