Basic polyhedra in knot theory
Kragujevac Journal of Mathematics, Tome 28 (2005), p. 155
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
BASIC POLYHEDRA IN KNOT THEORYSlavik V. Jablan1, Ljiljana M. Radovic2,
Radmila Sazdanovic3 1The Mathematical Institute, Knez Mihailova 35, P.O. Box
367,11001 Belgrade, Serbia and Montenegro (e-mail:
jablans@mi.sanu.ac.yu) 2University of Nis, Faculty of
Mechanical Engineering, Beogradska 14,Nis, Serbia and
Montenegro
(e-mail: liki@masfak.ni.ac.yu) 3The Mathematical Institute,
Knez Mihailova 35, P.O. Box 367,11001 Belgrade, Serbia and
Montenegro
(e-mail: radmilas@gmail.com) Abstract.
Using the table of four-regular 3- and 2-connected planar graphs
computed by Brendan McKay, the complete list of basic polyhedra
with n � 16 crossings is derived. For all the basic polyhedra,
with the exception of four of them, the number of source links
which could be derived from them by adding single digons in their
vertices is computed.
Keywords:
basic polyhedra, knot theory
@article{KJM_2005_28_a11,
author = {Slavik V. Jablan and Ljiljana M. Radovi\'c and Radmila Sazdanovi\'c},
title = {Basic polyhedra in knot theory},
journal = {Kragujevac Journal of Mathematics},
pages = {155 },
year = {2005},
volume = {28},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2005_28_a11/}
}
Slavik V. Jablan; Ljiljana M. Radović; Radmila Sazdanović. Basic polyhedra in knot theory. Kragujevac Journal of Mathematics, Tome 28 (2005), p. 155 . http://geodesic.mathdoc.fr/item/KJM_2005_28_a11/