Magic partially filled arrays on abelian groups

DOI10.1002/jcd.21886zbMath1526.05019arXiv2209.10246OpenAlexW4379506013MaRDI QIDQ6086205

Fiorenza Morini, Marco Antonio Pellegrini

Publication date: 9 November 2023

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10246

zbMATH Keywords

magic labelingmagic rectangleHeffter arraysigned magic array\(\Gamma\)-supermagic labelingzero-sum \(\Gamma\)-magic graph

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

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• Zero-sum magic labelings and null sets of regular graphs
• Existence of some signed magic arrays
• A dynamic survey of graph labeling
• On \(\lambda\)-fold relative Heffter arrays and biembedding multigraphs on surfaces
• Non-zero sum Heffter arrays and their applications
• On the existence of integer relative Heffter arrays
• A magic rectangle set on abelian groups and its application
• Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \)
• Heffter arrays and biembedding graphs on surfaces
• Handicap distance antimagic graphs and incomplete tournaments
• Rectangular Heffter arrays: a reduction theorem
• A $$\varGamma $$-magic Rectangle Set and Group Distance Magic Labeling
• Signed magic rectangles with three filled cells in each column
• Biembedding Steiner Triple Systems and n-cycle Systems on Orientable Surfaces
• Globally simple Heffter arrays and orthogonal cyclic cycle decompositions
• Relative Heffter arrays and biembeddings
• Magic rectangles, signed magic arrays and integer $\lambda$-fold relative Heffter arrays
• Magic rectangles with empty cells
• The existence of square non-integer Heffter arrays
• Tight Heffter Arrays Exist for all Possible Values
• Supermagic Complete Graphs

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