Artículos de revistas
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
Fecha
2017-07Registro en:
Capitelli, Nicolás Ariel; Minian, Elias Gabriel; A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions; Springer; Discrete And Computational Geometry; 58; 1; 7-2017; 144-157
0179-5376
CONICET Digital
CONICET
Autor
Capitelli, Nicolás Ariel
Minian, Elias Gabriel
Resumen
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G.