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math.QA2024
Hilbert series for contractads and modular compactifications
Anton Khoroshkin, Denis Lyskov
Contractads are operadic-type algebraic structures well-suited for describing configuration spaces indexed by a simple connected graph . Specifically, these configuration spaces…
math.CO2024
Operadic structure on Hamiltonian paths and cycles
Denis Lyskov
We study Hamiltonian paths and cycles in undirected graphs from an operadic viewpoint. We show that the graphical collection encoding directed Hamiltonian paths in c…