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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A prime curve is determined by its $VF$-matrix


Author: Louis Zulli
Journal: Proc. Amer. Math. Soc. 130 (2002), 2165-2172
MSC (2000): Primary 57M15; Secondary 05C50
Published electronically: December 27, 2001
MathSciNet review: 1896054
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Abstract: We show that a prime generic immersion $S^1\to S^2$ is determined up to ambient isotopy by its vertex-face matrix, and give an algorithm for obtaining the curve's Gauss code directly from that matrix.


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Additional Information

Louis Zulli
Affiliation: Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042
Email: zullil@lafayette.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06320-1
PII: S 0002-9939(01)06320-1
Keywords: Vertex-face matrix, prime curve, Gauss code
Received by editor(s): August 14, 2000
Received by editor(s) in revised form: February 1, 2001
Published electronically: December 27, 2001
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2001 American Mathematical Society