2025/12/23 by Sourav Bhattacharya, Bhattacharya, Sourav, Ashish Yadav +1
Mathematics · #Mathematics and Applications #Algebraic and Geometric Analysis #Limits and Structures in Graph Theory
paper · doi:10.48550/arxiv.2512.20147
We study the problem of relating cycles on a triod Y to circle rotations. We prove that the simplest cycles on a triod~Y with a given rotation number~ρ, called triod--twist cycles are conjugate, via a piece-wise monotone map of modality at most~m + 3, where~m is the modality of~P to the rotation on~S1 by angle~ρ, restricted to one of its cycles.