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Discussiones Mathematicae Graph Theory
Article . 2004 . Peer-reviewed
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Some applications of pq-groups in graph theory

Some applications of \(pq\)-groups in graph theory
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 24, page 109 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Geoffrey Exoo;

doi: 10.7151/dmgt.1217

Some applications of pq-groups in graph theory

Abstract

Summary: We describe some new applications of nonabelian \(pq\)-groups to construction problems in graph theory. The constructions include the smallest known trivalent graph of girth 17, the smallest known regular graphs of girth five for several degrees, along with four edge colorings of complete graphs that improve lower bounds on classical Ramsey numbers.

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Keywords

girth, Extremal problems in graph theory, Ramsey number, cage, Generalized Ramsey theory, edge coloring, degree, Cayley graph, Graphs and abstract algebra (groups, rings, fields, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
Published in a Diamond OA journal