An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.
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Counting Weighted Bi-Colored Plane Trees and Their Geometric Applications
An algorithmic enumeration method for weighted bi-colored plane trees is developed and applied to compute strong Hurwitz numbers for three-point branch data and the number of connected components in the moduli space of HCMU spheres with one conical singularity.