Proof of a local antimagic conjecture

An antimagic labelling of a graph $G$ is a bijection $f:E(G)\to\{1,\ldots,E(G)\}$ such that the sums $S_v=\sum_{e\ni v}f(e)$ distinguish all vertices. A well-known conjecture of Hartsfield and Ringel (1994) is that every connected graph other than $K_2$ admits an antimagic labelling. Recently, two s...

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Bibliographic Details
Main Author: John Haslegrave
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2018-06-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3887/pdf