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December 2010 The IH-complex of Spatial Trivalent Graphs
Atsushi ISHII, Kengo KISHIMOTO
Tokyo J. Math. 33(2): 523-535 (December 2010). DOI: 10.3836/tjm/1296483486

Abstract

We define the IH-complex on the set of spatial trivalent graphs by using the IH-move, which is a local spatial move appeared in a study of knotted handlebodies. The IH-distance between two spatial trivalent graphs is defined by the minimal number of IH-moves needed to transform one into the other. It gives a distance function on the IH-complex. We give a lower bound for the IH-distance, and evaluate it.

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Atsushi ISHII. Kengo KISHIMOTO. "The IH-complex of Spatial Trivalent Graphs." Tokyo J. Math. 33 (2) 523 - 535, December 2010. https://doi.org/10.3836/tjm/1296483486

Information

Published: December 2010
First available in Project Euclid: 31 January 2011

zbMATH: 1213.57010
MathSciNet: MR2779433
Digital Object Identifier: 10.3836/tjm/1296483486

Subjects:
Primary: 57M25

Rights: Copyright © 2010 Publication Committee for the Tokyo Journal of Mathematics

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Vol.33 • No. 2 • December 2010
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