About: Distinguishing graphs by their left and right homomorphism profiles

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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.ejc.2011.03.012
Description	We introduce a new property of graphs called ''q-state Potts uniqueness and relate it to chromatic and Tutte uniqueness, and also to ''chromatic-Flow uniqueness'', recently studied by Duan. Wu and Yu. We establish for which edge-weighted graphs H homomorphism functions from multigraphs G to H are specializations of the Tutte polynomial of G, in particular answering a question of Freedman, Lovasz and Schrijver. We also determine for which edge-weighted graphs H homomorphism functions from multigraphs G to H are specializations of the ''edge elimination polynomial'' of Averbouch, Godlin and Makowsky and the ''induced subgraph polynomial'' of Tittmann, Averbouch and Makowsky. Unifying the study of these and related problems is the notion of the left and right homomorphism profiles of a graph. We introduce a new property of graphs called ''q-state Potts uniqueness and relate it to chromatic and Tutte uniqueness, and also to ''chromatic-Flow uniqueness'', recently studied by Duan. Wu and Yu. We establish for which edge-weighted graphs H homomorphism functions from multigraphs G to H are specializations of the Tutte polynomial of G, in particular answering a question of Freedman, Lovasz and Schrijver. We also determine for which edge-weighted graphs H homomorphism functions from multigraphs G to H are specializations of the ''edge elimination polynomial'' of Averbouch, Godlin and Makowsky and the ''induced subgraph polynomial'' of Tittmann, Averbouch and Makowsky. Unifying the study of these and related problems is the notion of the left and right homomorphism profiles of a graph. (en)
Title	Distinguishing graphs by their left and right homomorphism profiles Distinguishing graphs by their left and right homomorphism profiles (en)
skos:prefLabel	Distinguishing graphs by their left and right homomorphism profiles Distinguishing graphs by their left and right homomorphism profiles (en)
skos:notation	RIV/00216208:11320/11:10104595!RIV12-MSM-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Nešetřil, Jaroslav
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	194894
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10104595
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	INVARIANTS; TUTTE UNIQUENESS; Potts uniqueness; homomorphism; CHROMATICALLY UNIQUE GRAPHS (en)
http://linked.open.../riv/klicoveSlovo	CHROMATICALLY UNIQUE GRAPHS INVARIANTS Potts uniqueness TUTTE UNIQUENESS homomorphism
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[51E150DAA303]
http://linked.open...i/riv/nazevZdroje	European Journal of Combinatorics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Institute for Theoretical Computer Science
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	32
http://linked.open...iv/tvurceVysledku	Garijo, Delia Goodall, Andrew Nešetřil, Jaroslav
http://linked.open...ain/vavai/riv/wos	000294580100007
http://linked.open...n/vavai/riv/zamer	Moderní metody, struktury a systémy informatiky
issn	0195-6698
number of pages	29 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ejc.2011.03.012
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Distinguishing graphs by their left and right homomorphism profiles Distinguishing graphs by their left and right homomorphism profiles

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