Some new results about a conjecture by Brian Alspach

DOI10.1007/s00013-020-01507-7OpenAlexW3082809753WikidataQ123150951 ScholiaQ123150951MaRDI QIDQ2203980

Marco Antonio Pellegrini, Simone Costa

Publication date: 2 October 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05939

zbMATH Keywords

partial sumpolynomial methodtorsion-free abelian groupAlspach's conjecture

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group theory and generalizations (20-XX)

Related Items (6)

Non-zero sum Heffter arrays and their applications ⋮ On sequences in cyclic groups with distinct partial sums ⋮ Weak sequenceability in cyclic groups ⋮ New methods to attack the Buratti-Horak-Rosa conjecture ⋮ On \(\lambda\)-fold relative Heffter arrays and biembedding multigraphs on surfaces ⋮ Variations on the Erdős distinct-sums problem

Uses Software

• Magma

Cites Work

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• Sequences in groups with distinct partial products
• Square integer Heffter arrays with empty cells
• The Magma algebra system. I: The user language
• A problem on partial sums in abelian groups
• Heffter arrays and biembedding graphs on surfaces
• Directed paths of diagonals within polygons
• Sequenceable groups and related topics.
• On Partial Sums in Cyclic Groups
• Combinatorial Nullstellensatz
• The existence of square integer Heffter arrays
• Globally simple Heffter arrays and orthogonal cyclic cycle decompositions
• On strongly sequenceable abelian groups
• The existence of square non-integer Heffter arrays
• Distinct partial sums in cyclic groups: polynomial method and constructive approaches

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