|
Brunel University Research Archive (BURA) >
Research Areas >
Information Systems and Computing >
Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/1679
|
| Title: | Knot Graphs |
| Authors: | Noble, S D
Welsh, D J A |
| Keywords: | Reidemeister moves
delta-wye graphs
bicycle space
Tutte polynomial |
| Publication Date: | 2000 |
| Publisher: | Wiley |
| Citation: | Journal of Graph Theory Volume 34, Issue 1, Date: May 2000, Pages: 100-111 |
| Abstract: | We consider the equivalence classes of graphs induced by the unsigned
versions of the Reidemeister moves on knot diagrams.
Any graph which is
reducible by some finite sequence of these moves, to a graph with no
edges is called a knot graph. We show that the class of knot graphs
strictly contains the set of delta-wye graphs. We prove that the
dimension of the intersection of the cycle and cocycle spaces is an
effective numerical invariant of these classes. |
| URI: | http://bura.brunel.ac.uk/handle/2438/1679 |
| ISSN: | 1097-0118 |
| Appears in Collections: | Mathematics
Information Systems and Computing
|
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.
|
