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Corrigendum to "Topology of matching complexes of complete graphs via discrete Morse theory'' [arXiv:2305.02973, Discrete Math. Theor. Comput. Sci. 26:3#13 (2024)]
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
In this corrigendum to arXiv:2305.02973, we justify that the motivation behind Conjecture 5.1 is based on a mistaken notion. Moreover, we prove a stronger theorem that disproves th…
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…
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…
On Elser's conjecture and the topology of -nucleus complex
Apratim Chakraborty, Anupam Mondal, Sajal Mukherjee +1
Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex…