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Homomorphisms of 2-edge-colored graphs
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Homomorphisms of 2-edge-colored graphs

Amanda Montejano, Pascal Ochem, Alexandre Pinlou, André Raspaud et Eric Sopena
Discrete Applied Mathematics, Vol.158(12), pp.1365-1379
2010

Résumé

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) 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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