Harmonious groups

DOI10.1016/0097-3165(91)90034-EzbMath0718.20013MaRDI QIDQ2639172

Douglas S. Jungreis, Joseph A. Gallian, Robert Beals, Patrick Headley

Publication date: 1991

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

finite groupscomplete mappingsequencingAbelian groupodd orderharmonious groupharmonious-matched groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01)

Related Items (15)

A guide to the graph labeling zoo ⋮ Group sum chromatic number of graphs ⋮ Rainbow spanning trees in abelian groups ⋮ Coset-wise affine functions and cycle types of complete mappings ⋮ Compositions and parities of complete mappings and of orthomorphisms ⋮ All group‐based latin squares possess near transversals ⋮ Sums and differences along Hamiltonian cycles ⋮ Sums and differences along Hamiltonian cycles ⋮ On the harmoniousness of dicyclic groups ⋮ Note on the group edge irregularity strength of graphs ⋮ New complete Latin squares of odd order ⋮ The spectrum of group-based complete Latin squares ⋮ Harmonious order of graphs ⋮ Group irregularity strength of connected graphs ⋮ On some graph-cordial abelian groups

Cites Work

• Neofields
• On Additive Bases and Harmonious Graphs
• Finite Nets, I. Numerical Invariants
• The Construction of Orthogonal Latin Squares
• Complete mappings of finite groups
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