An application of valuation theory to two problems in discrete geometry

U. Betke; P. Gritzmann

doi:10.1016/0012-365X(86)90188-3

An application of valuation theory to two problems in discrete geometry

U. Betke
, P. Gritzmann

University of Siegen

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

First a new approach is given to the technique of simple valuations previously introduced by McMullen. Then, this method is used to establish some cases of Wills' conjecture on the number of lattice points in convex bodies and of L. Fejes Tóths sausage-conjecture on finite packings of the unit ball.

Original language	English
Pages (from-to)	81-85
Number of pages	5
Journal	Discrete Mathematics
Volume	58
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(86)90188-3
State	Published - Jan 1986
Externally published	Yes

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title = "An application of valuation theory to two problems in discrete geometry",

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AB - First a new approach is given to the technique of simple valuations previously introduced by McMullen. Then, this method is used to establish some cases of Wills' conjecture on the number of lattice points in convex bodies and of L. Fejes Tóths sausage-conjecture on finite packings of the unit ball.

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DO - 10.1016/0012-365X(86)90188-3

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An application of valuation theory to two problems in discrete geometry

Abstract

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