Extending the Tutte and Bollobás–Riordan polynomials to rank 3 weakly coloured stranded graphs
Extending the Tutte and Bollobás–Riordan polynomials to rank 3 weakly coloured stranded graphs
The Bollobás-Riordan polynomial [Math. Ann. 323, 81 (2002)] is a universal polynomial invariant for ribbon graphs. We find an extension of this polynomial for a particular family of combinatorial objects, called rank 3 weakly-colored stranded graphs. Stranded graphs arise in the study of tensor models for quantum gravity in physics, …