A novel approach to find partitions of \(Z_m\) with equal sum subsets via complete graphs

DOI10.3934/math.2021581OpenAlexW3178370611MaRDI QIDQ2671052

M. Haris Mateen, Shahbaz Ali, Muhammad Khalid Mahmmod, Doha A. Kattan

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021581

zbMATH Keywords

complete graphring of integersquadratic residues graph

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (1)

Möbius group generated by two elements of order 2, 4, and reduced quadratic irrational numbers

Cites Work

• The quadratic digraph on polynomial rings over finite fields
• The graph of the square mapping on the prime fields
• Structures of power digraphs over the congruence equation \(x^p\equiv y\; (\text{mod}\; m)\) and enumerations
• A paradigmatic approach to investigate restricted hyper totient graphs
• Structure of digraphs associated with quadratic congruences with composite moduli
• Kron Reduction of Graphs With Applications to Electrical Networks
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