scholarly journals Strong Discrete Morse Theory and Simplicial L–S Category: A Discrete Version of the Lusternik–Schnirelmann Theorem

2019 ◽  
Vol 63 (3) ◽  
pp. 607-623
Author(s):  
Desamparados Fernández-Ternero ◽  
Enrique Macías-Virgós ◽  
Nicholas A. Scoville ◽  
José Antonio Vilches
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory ◽  
Discrete Version ◽  
Lusternik Schnirelmann

scholarly journals Counting and Discrete Morse Theory

2019 ◽  
Vol 21 (1) ◽  
Author(s):  
Andrew Sack
Keyword(s):  
Morse Theory ◽  
Vector Fields ◽  
Discrete Morse Theory ◽  
Gradient Vector ◽  
Morse Functions

We examine enumerating discrete Morse functions on graphs up to equivalence by gradient vector fields and by restrictions on the codomain.  We give formulae for the number of discrete Morse functions on specific classes of graphs (line, cycle, and bouquet of circles).

scholarly journals Discrete Morse theory for totally non-negative flag varieties

2010 ◽  
Vol 223 (6) ◽  
pp. 1855-1884 ◽  
Author(s):  
Konstanze Rietsch ◽  
Lauren Williams
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory ◽  
Flag Varieties

scholarly journals Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory

2017 ◽  
Vol 57 (4) ◽  
pp. 824-853 ◽  
Author(s):  
Karim A. Adiprasito ◽  
Bruno Benedetti ◽  
Frank H. Lutz
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory

scholarly journals Discrete Morse Theory for Computing Cellular Sheaf Cohomology

2015 ◽  
Vol 16 (4) ◽  
pp. 875-897 ◽  
Author(s):  
Justin Curry ◽  
Robert Ghrist ◽  
Vidit Nanda
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory ◽  
Sheaf Cohomology
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