An exact formula for the contraction factor of a subdivided Gaussian topological polymer
| Title: | An exact formula for the contraction factor of a subdivided Gaussian topological polymer |
|---|---|
| Authors: | Cantarella, Jason, Deguchi, Tetsuo, Shonkwiler, Clayton, Uehara, Erica |
| Publication Year: | 2025 |
| Collection: | Mathematics Condensed Matter |
| Subject Terms: | Condensed Matter - Statistical Mechanics, Mathematics - Combinatorics, 82D60 (primary), 60G50, 60D05, 05C50 (secondary) |
| More Details: | We consider the radius of gyration of a Gaussian topological polymer $G$ formed by subdividing a graph $G'$ of arbitrary topology (for instance, branched or multicyclic). We give a new exact formula for the expected radius of gyration and contraction factor of $G$ in terms of the number of subdivisions of each edge of $G'$ and a new weighted Kirchhoff index for $G'$. The formula explains and extends previous results for the contraction factor and Kirchhoff index of subdivided graphs. |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2503.01310 |
| Accession Number: | edsarx.2503.01310 |
| Database: | arXiv |
Be the first to leave a comment!