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cond-mat.soft2025
Effects of multiple cycles on the resistance distance of a strand in a homogeneous polymer network
Erica Uehara, Tetsuo Deguchi
We show that the resistance distance between a pair of adjacent vertices in a phantom network generated randomly by a Monte-Carlo method depends on the existence of short cycles ar…
cond-mat.stat-mech2025
An exact formula for the contraction factor of a subdivided Gaussian topological polymer
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
We consider the radius of gyration of a Gaussian topological polymer formed by subdividing a graph of arbitrary topology (for instance, branched or multicyclic). We give a…