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math.CO2020★ 2 cited
Proof of the Erdős-Simonovits conjecture on walks
Grigoriy Blekherman, Annie Raymond
Let be a graph on vertices and let denote the number of walks of length in divided by . Erdős and Simonovits conjectured that $w_k(G^n)^t \geq w_t…
math.CO2020
The Linear Relaxation of an Integer Program for the Union-Closed Conjecture
Brianna Amaral, Lucien Dalton, Drew Polakowski +2
The Frankl conjecture, also known as the union-closed sets conjecture, states that in any finite non-empty union-closed family, there exists an element in at least half of the sets…
math.CO2020
Tropicalization of Graph Profiles
Grigoriy Blekherman, Annie Raymond, Mohit Singh +1
A graph profile records all possible densities of a fixed finite set of graphs. Profiles can be extremely complicated; for instance the full profile of any triple of connected grap…