Bollobas-Riordan and relative Tutte polynomials

Details Bollobas-Riordan and relative Tutte polynomials Bollobas-Riordan and relative Tutte polynomials

2010-10-30

arxiv.org/abs/1011.0072v1

Mathematics

Combinatorics

10 pages, many figures

Scientific paper

We establish a relation between the Bollobas-Riordan polynomial of a ribbon graph with the relative Tutte polynomial of a plane graph obtained from the ribbon graph using its projection to the plane in a nontrivial way. Also we give a duality formula for the relative Tutte polynomial of dual plane graphs and an expression of the Kauffman bracket of a virtual link as a specialization of the relative Tutte polynomial.

Affiliated with

Also associated with

No associations

Rating

Bollobas-Riordan and relative Tutte polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bollobas-Riordan and relative Tutte polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bollobas-Riordan and relative Tutte polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-405297