Article ID Journal Published Year Pages File Type
9519997 Comptes Rendus Mathematique 2005 6 Pages PDF
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
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