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March 2014 7-colored 2-knot diagram with six colors
Kanako Oshiro, Shin Satoh
Hiroshima Math. J. 44(1): 63-74 (March 2014). DOI: 10.32917/hmj/1395061557

Abstract

It is known that any 7-colorable knot in 3-space is presented by a diagram assigned by four of the seven colors. In this paper, we prove the existence of a 7-colorable 2-knot in 4-space such that any non-trivial 7-coloring requires at least six of the seven colors.

Citation

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Kanako Oshiro. Shin Satoh. "7-colored 2-knot diagram with six colors." Hiroshima Math. J. 44 (1) 63 - 74, March 2014. https://doi.org/10.32917/hmj/1395061557

Information

Published: March 2014
First available in Project Euclid: 17 March 2014

zbMATH: 1293.57013
MathSciNet: MR3178436
Digital Object Identifier: 10.32917/hmj/1395061557

Subjects:
Primary: 57Q45, 98B76
Secondary: 57Q35

Rights: Copyright © 2014 Hiroshima University, Mathematics Program

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Vol.44 • No. 1 • March 2014
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