Packings with large minimum kissing numbers

Noga Alon

doi:10.1016/S0012-365X(97)00071-X

Packings with large minimum kissing numbers

Noga Alon

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

13 Scopus citations

Abstract

For each proper power of 4, n, we describe a simple explicit construction of a finite collection of pairwise disjoint open unit balls in Rⁿ in which each ball touches more than 2^√n others.

Original language	English (US)
Pages (from-to)	249-251
Number of pages	3
Journal	Discrete Mathematics
Volume	175
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(97)00071-X
State	Published - Oct 15 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(97)00071-X

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title = "Packings with large minimum kissing numbers",

abstract = "For each proper power of 4, n, we describe a simple explicit construction of a finite collection of pairwise disjoint open unit balls in Rn in which each ball touches more than 2√n others.",

author = "Noga Alon",

year = "1997",

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doi = "10.1016/S0012-365X(97)00071-X",

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journal = "Discrete Mathematics",

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AB - For each proper power of 4, n, we describe a simple explicit construction of a finite collection of pairwise disjoint open unit balls in Rn in which each ball touches more than 2√n others.

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DO - 10.1016/S0012-365X(97)00071-X

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VL - 175

SP - 249

EP - 251

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Packings with large minimum kissing numbers

Abstract

All Science Journal Classification (ASJC) codes

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