A Beautiful Proof by Induction

Journal of Humanistic Mathematics

Öhman, Lars-Daniel¹ 

[1]Department of Mathematics and Mathematical Statistics, Umeå University$$

关键词: Adapted minicutting technique;    Length of mini-cuttings;    Mini-stumps shading;    Ornamental plants cloning;    Vegetative propagation.;   

DOI  :  10.5642/jhummath.201601.06

学科分类：数学（综合）

来源: Claremont Center for the Mathematical Sciences

【 摘 要 】

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.

【 授权许可】

Unknown