Abstract | ||
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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. Chari | 1 | 57 | 9.17 |
Michael Joswig | 2 | 112 | 15.41 |