Corpus ID: 119139359

Extending Tutte and Bollob\'as-Riordan Polynomials to Rank 3 Weakly-Colored Stranded Graphs

@article{Avohou2013ExtendingTA,
  title={Extending Tutte and Bollob\'as-Riordan Polynomials to Rank 3 Weakly-Colored Stranded Graphs},
  author={R. C. Avohou and J. B. Geloun and M. N. Hounkonnou},
  journal={arXiv: Geometric Topology},
  year={2013}
}
The Bollobas-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, and generalize graphs and ribbon graphs. We present a seven-variable polynomial invariant of these graphs which obeys a contraction/deletion recursion relation… Expand
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