Title
Complexes of discrete Morse functions
Abstract
We investigate properties of the set of discrete Morse functions on a fixed simplicial complex as defined by Forman [5]. It is not difficult to see that the pairings of discrete Morse functions of @D again form a simplicial complex, the complex of discrete Morse functions of @D. It turns out that several known results from combinatorial topology and enumerative combinatorics, which previously seemed to be unrelated, can be re-interpreted in the setting of these complexes of discrete Morse functions.
Year
DOI
Venue
2005
10.1016/j.disc.2004.07.027
Discrete Mathematics
Keywords
Field
DocType
collapsibility,discrete morse theory,matrix-tree theorem,simplicial complex,morse function
Discrete mathematics,Combinatorics,Circle-valued Morse theory,Enumerative combinatorics,Pairing,Simplicial complex,Morse code,Combinatorial topology,Discrete Morse theory,Morse theory,Mathematics
Journal
Volume
Issue
ISSN
302
1-3
Discrete Mathematics
Citations 
PageRank 
References 
2
0.48
3
Authors
2
Name
Order
Citations
PageRank
Manoj K. Chari1579.17
Michael Joswig211215.41