Identifiable projections of spatial graphs

Youngsik Huh; Kouki Taniyama

doi:10.1142/S0218216504003640

Identifiable projections of spatial graphs

Youngsik Huh^*, Kouki Taniyama

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	991-998
Number of pages	8
Journal	Journal of Knot Theory and its Ramifications
Volume	13
Issue number	8
DOIs	https://doi.org/10.1142/S0218216504003640
Publication status	Published - 2004 Dec

Keywords

Identifiable projection
Regular projection
Spatial graphs

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216504003640

Cite this

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title = "Identifiable projections of spatial graphs",

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.",

keywords = "Identifiable projection, Regular projection, Spatial graphs",

author = "Youngsik Huh and Kouki Taniyama",

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AB - 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.

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KW - Regular projection

KW - Spatial graphs

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Identifiable projections of spatial graphs

Abstract

Keywords

ASJC Scopus subject areas

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