A problem on partial sums in abelian groups

Marco Antonio Pellegrini; S. Costa; F. Morini; A. Pasotti

doi:10.1016/j.disc.2017.11.013

A problem on partial sums in abelian groups

Marco Antonio Pellegrini, S. Costa, F. Morini, A. Pasotti

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

12 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	705-712
Numero di pagine	8
Rivista	Discrete Mathematics
Volume	341
DOI	https://doi.org/10.1016/j.disc.2017.11.013
Stato di pubblicazione	Pubblicato - 2018

Keywords

Cycle system
Heffter system
Partial sum

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10.1016/j.disc.2017.11.013

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title = "A problem on partial sums in abelian groups",

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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T1 - A problem on partial sums in abelian groups

AU - Pellegrini, Marco Antonio

AU - Costa, S.

AU - Morini, F.

AU - Pasotti, A.

PY - 2018

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N2 - 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.

AB - 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.

KW - Cycle system

KW - Heffter system

KW - Partial sum

KW - Cycle system

KW - Heffter system

KW - Partial sum

UR - http://hdl.handle.net/10807/112154

U2 - 10.1016/j.disc.2017.11.013

DO - 10.1016/j.disc.2017.11.013

M3 - Article

VL - 341

SP - 705

EP - 712

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

ER -

A problem on partial sums in abelian groups

Abstract

Keywords

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