| 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 |
