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  • This paper initiates a general study of the connection between graph homomorphisms and Tutte polynomia. This connection enables us to extend the study to other important polynomial invariants associated with graphs, and closely related to the Tutte polynomial. We then obtain applications of these relationships in several areas, including Abelian Groups and Statistical Physics. A new type of uniqueness of graphs, strongly related to chromatically-unique graphs and Tutte-unique graphs, is introduced in order to provide a new point of view of the conjectures about uniqueness of graphs stated by Bollobas, Peabody and Riordan.
  • This paper initiates a general study of the connection between graph homomorphisms and Tutte polynomia. This connection enables us to extend the study to other important polynomial invariants associated with graphs, and closely related to the Tutte polynomial. We then obtain applications of these relationships in several areas, including Abelian Groups and Statistical Physics. A new type of uniqueness of graphs, strongly related to chromatically-unique graphs and Tutte-unique graphs, is introduced in order to provide a new point of view of the conjectures about uniqueness of graphs stated by Bollobas, Peabody and Riordan. (en)
Title
  • Homomorphisms and polynomial invariants of graphs
  • Homomorphisms and polynomial invariants of graphs (en)
skos:prefLabel
  • Homomorphisms and polynomial invariants of graphs
  • Homomorphisms and polynomial invariants of graphs (en)
skos:notation
  • RIV/00216208:11320/09:00206591!RIV10-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 7
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 317737
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/09:00206591
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Homomorphisms; polynomial; invariants; graphs (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [D92A822E076A]
http://linked.open...i/riv/nazevZdroje
  • European Journal of Combinatorics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 30
http://linked.open...iv/tvurceVysledku
  • Garijo, Delia
  • Nešetřil, Jaroslav
  • Revuelta, Pastora
http://linked.open...ain/vavai/riv/wos
  • 000269117900011
http://linked.open...n/vavai/riv/zamer
issn
  • 0195-6698
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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