Abstract

A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were first introduced in the mid-1960s. In the intervening years over 200 graph labelings techniques have been studied in over 3000 papers. Finding out what has been done for any particular kind of labeling and keeping up with new discoveries is difficult because of the sheer number of papers and because many of the papers have appeared in journals that are not widely available. In this survey, I have collected everything I could find on graph labeling. For the convenience of the reader, the survey includes a detailed table of contents and index. This edition has 267 new references that are identified with the reference number and the word "new" in the right margin.

Keywords

CombinatoricsGraphGraph labelingEdge-graceful labelingComputer scienceMathematicsInformation retrievalDiscrete mathematicsLine graphGraph power

MeSH Terms

AnimalsPlant ExtractsNeuronal PlasticityRatsNeuronsRatsWistarCellsCulturedPlant LeavesCerebral Cortex

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Publication Info

Year
2022
Type
article
Volume
1000
Citations
2172
Access
Closed

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2172
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Cite This

Joseph A. Gallian (2022). A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics , 1000 . https://doi.org/10.37236/11668

Identifiers

DOI
10.37236/11668
PMID
41373815

Data Quality

Data completeness: 86%