About: Improvement on the decay of crossing numbers

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Improvement on the decay of crossing numbers Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.springer.com/article/10.1007%2Fs00373-012-1137-3
Description	We prove that the crossing number of a graph decays in a %22continuous fashion%22 in the following sense. For any epsilon > 0 there is a delta > 0 such that for a sufficiently large n, every graph G with n vertices and m a parts per thousand yen n (1+epsilon) edges, has a subgraph G' of at most (1 - delta)m edges and crossing number at least (1 - epsilon)CR(G). This generalizes the result of J. Fox and Cs. Tóth. We prove that the crossing number of a graph decays in a %22continuous fashion%22 in the following sense. For any epsilon > 0 there is a delta > 0 such that for a sufficiently large n, every graph G with n vertices and m a parts per thousand yen n (1+epsilon) edges, has a subgraph G' of at most (1 - delta)m edges and crossing number at least (1 - epsilon)CR(G). This generalizes the result of J. Fox and Cs. Tóth. (en)
Title	Improvement on the decay of crossing numbers Improvement on the decay of crossing numbers (en)
skos:prefLabel	Improvement on the decay of crossing numbers Improvement on the decay of crossing numbers (en)
skos:notation	RIV/00216208:11320/13:10145589!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I P S
http://linked.open...avai/riv/aktivity	I, P(GEGIG/11/E023), S
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Černý, Jakub Kynčl, Jan
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	79314
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10145589
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Embedding method; Crossing number (en)
http://linked.open.../riv/klicoveSlovo	Embedding method Crossing number
http://linked.open...odStatuVydavatele	JP - Japonsko
http://linked.open...ontrolniKodProRIV	[6339F461503A]
http://linked.open...i/riv/nazevZdroje	Graphs and Combinatorics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Graph Drawings and Representations
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	29
http://linked.open...iv/tvurceVysledku	Kynčl, Jan Černý, Jakub Tóth, Géza
http://linked.open...ain/vavai/riv/wos	000318875700006
issn	0911-0119
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00373-012-1137-3
http://localhost/t...ganizacniJednotka	11320

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 33 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software