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On a combination of the 1-2-3 Conjecture and the Antimagic Labelling Conjecture

This paper is dedicated to studying the following question: Is it always possible to injectively assign the weights 1, ..., |E(G)| to the edges of any given graph G (with no component isomorphic to K2) so that every two adjacent vertices of G get distinguished by their sums of incident weights? One...

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Autors principals: Julien Bensmail, Mohammed Senhaji, Kasper Szabo Lyngsie
Format: Artigo
Idioma:Inglês
Publicat: Discrete Mathematics & Theoretical Computer Science 2017-08-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:https://dmtcs.episciences.org/2168/pdf
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