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

11 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

Accesso al documento

10.1016/j.disc.2017.11.013

Altri file e collegamenti

Link a IRIS PubliCatt

Fingerprint Entra nei temi di ricerca di 'A problem on partial sums in abelian groups'. Insieme formano una fingerprint unica.

Cita questo

@article{1235d475e71b49789de54e5ff8653556,

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.",

keywords = "Cycle system, Heffter system, Partial sum, Cycle system, Heffter system, Partial sum",

author = "Pellegrini, {Marco Antonio} and S. Costa and F. Morini and A. Pasotti",

year = "2018",

doi = "10.1016/j.disc.2017.11.013",

language = "English",

volume = "341",

pages = "705--712",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598",

}

TY - JOUR

T1 - A problem on partial sums in abelian groups

AU - Pellegrini, Marco Antonio

AU - Costa, S.

AU - Morini, F.

AU - Pasotti, A.

PY - 2018

Y1 - 2018

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 -