August 17, 2025

An exact formula for the contraction factor of a subdivided Gaussian topological polymer

JCJason CantarellaUniversity of Georgia TDTetsuo DeguchiOchanomizu University CSClayton ShonkwilerColorado State University

Puntos clave

The new formula provides an exact calculation for the contraction factor and radius of gyration, enhancing understanding in polymer physics.
Key metrics include the radius of gyration and contraction factor, which relate to polymer shape and behavior under subdivision.
The analysis incorporates a weighted Kirchhoff index, expanding traditional graph analysis in the context of polymers.
These findings suggest important implications for polymer modeling and complex network analysis in materials science.

Resumen

Abstract 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.

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Cite This Study

Cantarella et al. (Tue,) studied this question.

synapsesocial.com/papers/68a36c270a429f797332ffe7 https://doi.org/https://doi.org/10.1088/1751-8121/adfac3

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