Edge-antimagic graphs
type: Item
instance of: scholarly article
title: Edge-antimagic graphs
zbMATH Open document ID: 1120.05075
author: Mirka Miller
author: Martin Bača
author: Yuqing Lin
author: Maged Z. Youssef
published in: Discrete Mathematics
publication date: 2007-04-26T00:00:00Z
review text: A bijection \(g: V(G) \cup E(G) \rightarrow \{1, 2, \dots , | V(G)| +| E(G)| \}\) is called an \((a,d)\)-edge-antimagic total labeling of graph \(G\) if the edge-weights \(g(x)+g(xy)+g(y)\) over all edges \(xy\) form an arithmetic progression with initial term \(a\) and difference \(d\). Such a labeling is super if \(g(V(G))=\{1,2,\dots,| V(G)|\} \). The authors calculate properties of \(a\) and \(d\) for which various families of graphs have such labelings.
reviewed by: Adrian Riskin
Mathematics Subject Classification ID: 05C78
zbMATH DE Number: 5146819
zbMATH Keywords: edge antimagic total labelings
MaRDI profile type: Publication
full work available at URL: j.disc.2005.10.038
OpenAlex ID: W2143872479
cites work: New constructions of magic and antimagic graph labelings
cites work: Q4236613
cites work: The place of super edge-magic labelings among other classes of labelings
cites work: Q3999001
cites work: Magic Valuations of Finite Graphs
cites work: Q2723258
cites work: Q4869540
DOI: 10.1016/J.DISC.2005.10.038
description: scientific article; zbMATH DE number 5146819