Back to Search
Start Over
INTRODUCTION TO GRAPH-LINK THEORY.
- Source :
- Journal of Knot Theory & Its Ramifications; Jun2009, Vol. 18 Issue 6, p791-823, 33p, 16 Diagrams
- Publication Year :
- 2009
-
Abstract
- The present paper is an introduction to a combinatorial theory arising as a natural generalization of classical and virtual knot theory. There is a way to encode links by a class of "realizable" graphs. When passing to generic graphs with the same equivalence relations we get "graph-links". On one hand graph-links generalize the notion of virtual link, on the other hand they do not detect link mutations. We define the Jones polynomial for graph-links and prove its invariance. We also prove some a generalization of the Kauffman–Murasugi–Thistlethwaite theorem on "minimal diagrams" for graph-links. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 18
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 43221078
- Full Text :
- https://doi.org/10.1142/S0218216509007191