IDENTIFIABLE PROJECTIONS OF SPATIAL GRAPHS-Reference-Cited by-同舟云学术

IDENTIFIABLE PROJECTIONS OF SPATIAL GRAPHS

Published:2004-12 Issue:08 Volume:13 Page:991-998
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HUH YOUNGSIK¹,TANIYAMA KOUKI²

Affiliation:

1. Department of Mathematics, College of Natural Sciences, Hanyang University, Haengdang-1-dong, Seongdong-gu, Seoul, 133-791, South Korea

2. Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan

Abstract

A generic map from a finite graph to the 2-space is called identifiable if any two embeddings of the graph into the 3-space obtained by lifting the map with respect to the natural projection from the 3-space to the 2-space are ambient isotopic in the 3-space. We show that only planar graphs have identifiable maps. We characterize the identifiable maps for some planar graphs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216504003640

Reference11 articles.

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