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math.CO2026
Product-free subsets of
Leonardo Franchi, W. T. Gowers, Fredy Yip
The third problem in Ben Green's collection of 100 open problems asks whether an open subset of that does not contain with must have measure at most 1/3. We…
math.CO2026
On the sum of the largest and smallest eigenvalues of graphs with high odd girth
Fredy Yip
The sum of the maximum and minimum eigenvalues, and the odd girth of a graph both measure bipartiteness. We seek to relate these measures. In particular, for an odd i…