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Homomorphisms of 2-Edge-Colored Graphs

Amanda Montejano 1 Pascal Ochem 2 Alexandre Pinlou 3, * André Raspaud 4 Eric Sopena 4
* Corresponding author
1 Applied Mathematics IV Department
2 LRI - Laboratoire de Recherche en Informatique
3 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
4 LaBRI - Laboratoire Bordelais de Recherche en Informatique
Abstract : In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2-trees, partial 3-trees, planar graphs, graphs with bounded maximum average degree) and the problem is to find, for each class, the smallest number of vertices of a 2-edge-colored graph H such that each graph of the considered class admits a homomorphism to H.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00266540
Contributor : Alexandre Pinlou <>
Submitted on : Monday, March 24, 2008 - 4:27:19 PM
Last modification on : Thursday, June 17, 2021 - 3:49:31 AM

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  • HAL Id : lirmm-00266540, version 1

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LABRI | CNRS | UNIV-BORDEAUX | UMR8623 | ALGCO | LIRMM | LARA | MIPS | TDS-MACS | UNIV-MONTPELLIER | EC-PARIS

Citation

Amanda Montejano, Pascal Ochem, Alexandre Pinlou, André Raspaud, Eric Sopena. Homomorphisms of 2-Edge-Colored Graphs. RR-08008, 2008, pp.26. ⟨lirmm-00266540⟩

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