Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
REGULAR PROJECTIONS OF GRAPHS WITH AT MOST THREE DOUBLE POINTS
- Authors
- Huh, Youngsik; Nikkuni, Ryo
- Issue Date
- Jul-2010
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Spatial graph; regular projection; knotted projection
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.19, no.7, pp.917 - 933
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- Volume
- 19
- Number
- 7
- Start Page
- 917
- End Page
- 933
- ISSN
- 0218-2165
- Abstract
- A generic immersion of a planar graph into the 2-space is said to be knotted if there does not exist a trivial embedding of the graph into the 3-space obtained by lifting the immersion with respect to the natural projection from the 3-space to the 2-space. In this paper, we show that if a generic immersion of a planar graph is knotted then the number of double points of the immersion is more than or equal to three. To prove this, we also show that an embedding of a graph obtained from a generic immersion of the graph (does not need to be planar) with at most three double points is totally free if it contains neither a Hopf link nor a trefoil knot.
- Files in This Item
- Go to Link
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Huh, Young sik
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)