Realization of a digraph as the Reeb graph of a Morse–Bott function on a given surface
Irina Gelbukh · Topology and its Applications · 2023
We characterize the set of directed Reeb graphs of Morse–Bott functions on a given surface . Namely, we prove a criterion on realization of a given digraph as the directed Reeb graph of a Morse–Bott function on a given surface.