Affiliation:
1. University of Texas at Tyler, 3900 University Blvd. Tyler, TX 75799, USA
2. Louisiana State University, 303 Lockett Hall, Baton Rouge LA 70803, USA
Abstract
This article concerns the minimal knotting number for several types of lattices, including the face-centered cubic lattice (fcc), two variations of the body-centered cubic lattice (bcc-14 and bcc-8), and simple-hexagonal lattices (sh). We find, through the use of a computer algorithm, that the minimal knotting number in sh is 20, in fcc is 15, in bcc-14 is 13, and bcc-8 is 18.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
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