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math.CO2015
New Conjectures for Union-Closed Families
Jonad Pulaj, Annie Raymond, Dirk Theis
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.CO2015
Symmetry in Turán Sums of Squares Polynomials from Flag Algebras
Annie Raymond, Mohit Singh, Rekha R. Thomas
Turán problems in extremal combinatorics ask to find asymptotic bounds on the edge densities of graphs and hypergraphs that avoid specified subgraphs. The theory of flag algebras p…