2 papers
math.GT2026
The OU number and Reidemeister moves of type III for link diagrams
Naoki Sakata, Ayaka Shimizu, Koya Shimokawa
We introduce the non-self OU sequence and the OU number for link diagrams. Using these, we give a lower bound for the number of necessary Reidemeister moves of type III between two…
cond-mat.soft2023
A mathematical approach to mechanical properties of networks in thermoplastic elastomers
Ken'ichi Yoshida, Naoki Sakata, Koya Shimokawa
We employ a mathematical model to analyze stress chains in thermoplastic elastomers (TPEs) with a microphase-separated spherical structure composed of triblock copolymers. The mode…