About: An Approximation Scheme for Cake Division with a Linear Number of Cuts

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the cake cutting problem, n>2 players want to cut a cake into n pieces so that every player gets a ´fair´ share of the cake by his own measure. We prove the following result: For every .xi.>0, there exists a cake division scheme for n players that uses at most cxin cuts, and in which each player can enforce to get a share of at least (1-.xi.)/n of the cake according to his own private measure. In the cake cutting problem, n>2 players want to cut a cake into n pieces so that every player gets a ´fair´ share of the cake by his own measure. We prove the following result: For every .xi.>0, there exists a cake division scheme for n players that uses at most cxin cuts, and in which each player can enforce to get a share of at least (1-.xi.)/n of the cake according to his own private measure. (en) Článek prezentuje aproximační schéma pro dělení zdrojů s lineárním počtem řezů (cs)
Title	An Approximation Scheme for Cake Division with a Linear Number of Cuts Aproximační schéma pro dělení zdrojů s lineárním počtem řezů (cs) An Approximation Scheme for Cake Division with a Linear Number of Cuts (en)
skos:prefLabel	An Approximation Scheme for Cake Division with a Linear Number of Cuts Aproximační schéma pro dělení zdrojů s lineárním počtem řezů (cs) An Approximation Scheme for Cake Division with a Linear Number of Cuts (en)
skos:notation	RIV/67985840:_____/07:00096406!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany	205;211
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0545), P(IAA1019401), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Sgall, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	409288
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/07:00096406
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	fair division; approximation algorithms (en)
http://linked.open.../riv/klicoveSlovo	approximation algorithms fair division
http://linked.open...odStatuVydavatele	HU - Maďarsko
http://linked.open...ontrolniKodProRIV	[DCD381C2FF2F]
http://linked.open...i/riv/nazevZdroje	Combinatorica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Institute for Theoretical Computer Science Theories, proofs and computational complexity
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	27
http://linked.open...iv/tvurceVysledku	Sgall, Jiří Woeginger, G.
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0209-9683
number of pages	7 (xsd:int)

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