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A Beautiful Proof by Induction
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Journal of Humanistic Mathematics, ISSN 2159-8118, E-ISSN 2159-8118, Vol. 6, no 1Article in journal (Refereed) Published
Abstract [en]

The purpose of this note is to present an example of a proof by induction that in the opinion of the present author has great aesthetic value. The proof in question is Thomassen’s proof that planar graphs are 5-choosable. I give a self-contained presentation of this result and its proof, and a personal account of why I think this proof is beautiful.

A secondary purpose is to more widely publicize this gem, and hopefully make it part of a standard set of examples for examining characteristics of proofs by induction.

Place, publisher, year, edition, pages
2016. Vol. 6, no 1
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-118552DOI: 10.5642/jhummath.201601.06OAI: oai:DiVA.org:umu-118552DiVA: diva2:914005
Available from: 2016-03-23 Created: 2016-03-23 Last updated: 2017-11-30Bibliographically approved

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Öhman, Lars-Daniel
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Citation style
  • apa
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  • de-DE
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