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Electronic Journal of Combinatorics
Article . 2004 . Peer-reviewed
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Electronic Journal of Combinatorics
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Article . 2004
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https://dx.doi.org/10.37236/18...
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Voltage Graphs, Group Presentations and Cages

Voltage graphs, group presentations and cages
descriptionPublicationkeyboard_double_arrow_right Article 14 Feb 2004Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 11 (eissn: 1077-8926, Copyright policy )
Authors: Geoffrey Exoo;

doi: 10.37236/1843

Voltage Graphs, Group Presentations and Cages

Abstract

We construct smallest known trivalent graphs for girths 16 and 18. One construction uses voltage graphs, and the other coset enumeration techniques for group presentations.

Related Organizations
Keywords

cages, Extremal problems in graph theory, voltage graphs, group presentations, Graphs and abstract algebra (groups, rings, fields, etc.)

  • BIP!
    Impact byBIP!
    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).
    		 8
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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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!
8
Average
Top 10%
Average
gold