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math.CO2021
Non-zero sum Heffter arrays and their applications
Simone Costa, Stefano Della Fiore, Anita Pasotti
In this paper we introduce a new class of partially filled arrays that, as Heffter arrays, are related to difference families, graph decompositions and biembeddings. A non-zero sum…
math.CO2021
Variations on the Erdős distinct-sums problem
Simone Costa, Marco Dalai, Stefano Della Fiore
Let be a set of positive integers with such that all subset sums are distinct. A famous conjecture by Erdős states that $a_n>c\cdot…