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...

Full description

Bibliographic Details
Main Authors: Julien Bensmail, Mohammed Senhaji, Kasper Szabo Lyngsie
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2017-08-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2168/pdf