Back to Search
Start Over
Expansions for the Bollobás-Riordan Polynomial of Separable Ribbon Graphs.
- Source :
-
Annals of Combinatorics . Nov2011, Vol. 15 Issue 4, p675-706. 32p. 12 Diagrams. - Publication Year :
- 2011
-
Abstract
- We define 2-decompositions of ribbon graphs, which generalize 2-sums and tensor products of graphs. We give formulae for the Bollobás-Riordan polynomial of such a 2-decomposition, and derive the classical Brylawski formula for the Tutte polynomial of a tensor product as a (very) special case. This study was initially motivated from knot theory, and we include an application of our formulae to mutation in knot diagrams. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02180006
- Volume :
- 15
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Annals of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 67129390
- Full Text :
- https://doi.org/10.1007/s00026-011-0116-3