Tutte's spring theorem

Carsten Thomassen

doi:10.1002/jgt.10163

Tutte's spring theorem

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Abstract

We present a short proof of the theorem of Tutte that every planar 3-connected graph has a drawing in the plane such that every vertex which is not on the outer cycle is the barycenter of its neighbors. Moreover, this holds for any prescribed representation of the outer cycle. (C) 2004 Wiley Periodicals, Inc. J Graph Theory 45: 275-280, 2004.

Original language	English
Journal	Journal of Graph Theory
Volume	45
Issue number	4
Pages (from-to)	275-280
ISSN	0364-9024
DOIs	https://doi.org/10.1002/jgt.10163
Publication status	Published - 2004

Keywords

Spring graphs
Tutte's theorem

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10.1002/jgt.10163

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Tutte's spring theorem

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Keywords

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