eprintid: 1560883
rev_number: 28
eprint_status: archive
userid: 608
dir: disk0/01/56/08/83
datestamp: 2017-06-30 12:36:31
lastmod: 2021-03-18 23:37:39
status_changed: 2018-09-19 10:59:29
type: article
metadata_visibility: show
creators_name: Barany, I
creators_name: Csoka, E
creators_name: Karolyi, G
creators_name: Toth, G
title: Block partitions: an extended view
ispublished: pub
divisions: UCL
divisions: A01
divisions: B04
divisions: C06
divisions: F59
keywords: sequence, block partition, transversal
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: Given a sequence   S=(s1,…,sm)∈[0,1]m , a block B of S is a subsequence   B=(si,si+1,…,sj) . The size b of a block B is the sum of its elements. It is proved in [1] that for each positive integer n, there is a partition of S into n blocks B1,   …,  B n with   |bi−bj|≤1 for every i, j. In this paper, we consider a generalization of the problem in higher dimensions.
date: 2018-06-01
date_type: published
publisher: SPRINGER
official_url: http://doi.org/10.1007/s10474-018-0802-2
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1299738
doi: 10.1007/s10474-018-0802-2
lyricists_name: Barany, Imre
lyricists_id: IBARA89
actors_name: Waragoda Vitharana, Nimal
actors_id: NWARR44
actors_role: owner
full_text_status: public
publication: Acta Mathematica Hungarica
volume: 155
number: 1
pagerange: 36-46
pages: 11
issn: 1588-2632
citation:        Barany, I;    Csoka, E;    Karolyi, G;    Toth, G;      (2018)    Block partitions: an extended view.                   Acta Mathematica Hungarica , 155  (1)   pp. 36-46.    10.1007/s10474-018-0802-2 <https://doi.org/10.1007/s10474-018-0802-2>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1560883/1/Barany_1706.06095v1.pdf