An improved upper bound in the maximum dispersal problem

Autor:	Michael H. Moore
Rok vydání:	1974
Předmět:	Combinatorics Numerical Analysis Algebra and Number Theory Unit vector Simple (abstract algebra) Euclidean space Open problem Biological dispersal Discrete Mathematics and Combinatorics Geometry and Topology Upper and lower bounds Mathematics
Zdroj:	Linear Algebra and its Applications. 8(5):471-476
ISSN:	0024-3795
DOI:	10.1016/0024-3795(74)90081-0
Popis:	For integral m⩾2, let x1,…, xm be any unit vectors in Rn, the real Euclidean space of n dimensions. We obtain an upper bound for the quantity mini≠j|xi-xj| which, though not as simple, is uniformly sharper than one recently obtained by the author. The result has application to the so-called maximum-dispersal problem, an open problem recently popularized by Klee.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff2254f81e2663828f67663c8e0166ea Zobrazit plný text záznamu