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math.CO2022
Undecidability of polynomial inequalities in weighted graph homomorphism densities
Grigoriy Blekherman, Annie Raymond, Fan Wei
Many problems and conjectures in extremal combinatorics concern polynomial inequalities between homomorphism densities of graphs where we allow edges to have real weights. Using th…
math.CO2022
Non-trivial squares and Sidorenko's conjecture
Pranav Garg, Annie Raymond, Amanda Redlich
Let be the homomorphism density of a graph into a graph . Sidorenko's conjecture states that for any bipartite graph , for all gra…