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math.CO2020
Natural quasirandomness properties
Leonardo N. Coregliano, Alexander A. Razborov
The theory of quasirandomness has greatly expanded from its inaugural graph theoretical setting to several different combinatorial objects such as hypergraphs, tournaments, permuta…
math.CO2020
On the abstract chromatic number and its computability for finitely axiomatizable theories
Leonardo N. Coregliano
The celebrated Erdős--Stone--Simonovits theorem characterizes the asymptotic maximum edge density in -free graphs as , where $χ(\mathc…
math.CO2020
Tighter Bounds on the Independence Number of the Birkhoff Graph
Leonardo Nagami Coregliano, Fernando Granha Jeronimo
The Birkhoff graph is the Cayley graph of the symmetric group , where two permutations are adjacent if they differ by a single cycle. Our main result is a tigh…