About: The crossing number of a projective graph is quadratic in the face--width (Extended abstract)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We show that for each integer $g\geq0$ there is a constant $c>0$ such that every graph that embeds in the projective plane with sufficiently large face--width $r$ has crossing number at least $c.r^2$ in the orientable surface of genus $g$. As a corollary, we give a polynomial time constant factor approximation algorithm for the crossing number of projective graphs with bounded degree. We show that for each integer $g\geq0$ there is a constant $c>0$ such that every graph that embeds in the projective plane with sufficiently large face--width $r$ has crossing number at least $c.r^2$ in the orientable surface of genus $g$. As a corollary, we give a polynomial time constant factor approximation algorithm for the crossing number of projective graphs with bounded degree. (en)
Title	The crossing number of a projective graph is quadratic in the face--width (Extended abstract) The crossing number of a projective graph is quadratic in the face--width (Extended abstract) (en)
skos:prefLabel	The crossing number of a projective graph is quadratic in the face--width (Extended abstract) The crossing number of a projective graph is quadratic in the face--width (Extended abstract) (en)
skos:notation	RIV/00216224:14330/07:00020424!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1ET101940420), P(1M0545), P(GA201/05/0050)
http://linked.open...iv/cisloPeriodika	C
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Hliněný, Petr
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	Masarykova univerzita / Fakulta informatiky
http://linked.open...dnocenehoVysledku	415326
http://linked.open...ai/riv/idVysledku	RIV/00216224:14330/07:00020424
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	crossing number; projective plane; face-width; grid (en)
http://linked.open.../riv/klicoveSlovo	grid crossing number face-width projective plane
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[3FDB34DF54DA]
http://linked.open...i/riv/nazevZdroje	Electronic Notes in Discrete Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Logic and Artificial Intelligence in the area of Multiagent Systems Institute for Theoretical Computer Science Structural properties and algorithmic complexity of discrete problems
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	29
http://linked.open...iv/tvurceVysledku	Hliněný, Petr Salazar, Gelasio Gitler, Isidoro Leanos, Jesus
issn	1571-0653
number of pages	5 (xsd:int)
http://localhost/t...ganizacniJednotka	14330

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