On the existence of regular sparse anti-magic squares of odd order

DOI10.1007/s00373-021-02437-zzbMath1484.05029OpenAlexW4210633860MaRDI QIDQ2115166

Bangying Xin, Ming Zhong, Wen Li, Guang-zhou Chen

Publication date: 15 March 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02437-z

zbMATH Keywords

Latin squaremagic squarevertex-magic labelingsparse anti-magic squaresymmetric forward diagonals array

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (2)

The existence spectrum for regular sparse anti-magic squares ⋮ Constructions of regular sparse anti-magic squares

Cites Work

• Anti-magic labeling of trees
• Vertex-magic labeling of regular graphs: disjoint unions and assemblages
• Regular sparse anti-magic squares with small odd densities
• Sparse anti-magic squares and vertex-magic labelings of bipartite graphs
• Vertex-magic labelings of regular graphs. II.
• Unsolved problems on magic squares
• Anti-magic squares of even order
• Regular sparse anti-magic squares with the second maximum density
• Antimagic Labeling of Cubic Graphs
• Vertex‐Magic Total Labelings of Regular Graphs
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