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math.CO2026
The replica symmetric solution for hypergraph independent sets in the critical regime
Matthew Jenssen, Will Perkins, Aditya Potukuchi +1
We prove a variational formula for the logarithmic asymptotics of a non-existence probability in a broad class of combinatorial problems such as avoiding cliques in random graphs a…
math.CO2023
On the evolution of structure in triangle-free graphs
Matthew Jenssen, Will Perkins, Aditya Potukuchi
We study the typical structure and the number of triangle-free graphs with vertices and edges where is large enough so that a typical triangle-free graph has a cut cont…