In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group that naturally arises investigating simple Heffter systems. Then we show its connection with related open problems and we present some results about the validity of these conjectures.
Costa, S., Morini, F., Pasotti, A., Pellegrini, M. A., A problem on partial sums in abelian groups, <<DISCRETE MATHEMATICS>>, 2018; 341 (3): 705-712. [doi:10.1016/j.disc.2017.11.013] [http://hdl.handle.net/10807/112154]
A problem on partial sums in abelian groups
Pellegrini, Marco AntonioUltimo
2018
Abstract
In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group that naturally arises investigating simple Heffter systems. Then we show its connection with related open problems and we present some results about the validity of these conjectures.
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