Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9519997 | Comptes Rendus Mathematique | 2005 | 6 Pages |
Abstract
We study the Gordian graph of all knots in R3: two knots are adjacent if they differ by a single crossing change. We prove that this graph contains isometrically an infinite countable tree with infinite valency, and that the complement of any finite subset is connected. To cite this article: J. Marché, C. R. Acad. Sci. Paris, Ser. I 340 (2005).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Julien Marché,