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Journal of Applied Computer Science & Mathematics
Article . 2019 . Peer-reviewed
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Journal of Applied Computer Science & Mathematics
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Journal of Applied Computer Science & Mathematics
Article . 2019
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https://dx.doi.org/10.4316/jac...
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Beyond Grinberg Equation in cubic planar graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 English Publisher:Universitatea Stefan cel Mare din SuceavaJournal:Journal of Applied Computer Science & Mathematics, volume 13, pages 19-24 (issn: 2066-4273, eissn: 2066-3129, Copyright policy )
Authors: Cristian E. ONETE; Maria-Cristina C. ONETE;

doi: 10.4316/jacsm.201901003

Beyond Grinberg Equation in cubic planar graphs

Abstract

In this paper, Grinberg equation related to the Hamiltonicity of cubic planar graphs is revisited using the cycle base description of the graph and the related Laplacian. The advantages and the limitations of a pure Algebraic approach to Hamiltonicity are shown. Examples, showing the limitations are presented, too. Further possible approaches are suggested. Some unexpected results are shown, too.

Related Organizations
Keywords

Hamiltonicity, Hamiltonian cycle, Electronic computers. Computer science, QA1-939, Planar graphs, Cycles Base, QA75.5-76.95, Laplacian, Grinberg equation, Mathematics

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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!
4
Average
Top 10%
Top 10%
gold