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math.CO2023
A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs
Anupam Mondal, Pritam Chandra Pramanik
Robin Forman's highly influential 2002 paper A User's Guide to Discrete Morse Theory presents an overview of the subject in a very readable manner. As a proof of concept, the autho…
math.CO2023
Topology of matching complexes of complete graphs via discrete Morse theory
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
Bouc (1992) first studied the topological properties of , the matching complex of the complete graph of order , in connection with Brown complexes and Quillen complexes. Bj…
math.CO2023
Discrete Morse theory and the topology of matching complexes of complete graphs
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
We denote the matching complex of the complete graph with vertices by . Bouc first studied the topological properties of in connection with the Quillen complex. Late…