Some properties of Cayley signed graphs on finite abelian groups

2020/11/10 by Mohammad A. Iranmanesh, Iranmanesh, Mohammad A., Nasrin Moghaddami +1
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2011.05753

openalex publication_date 2020/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Σ=(Γ, σ) is a signed graph(or sigraph in short), where Γ is a underlying graph of Σ and σ:E\longrightarrow \+, -\ is a function. Consider Γ=Cay(ℤ_p₁× ℤ_p₁^α₁p₂^α₂ … p_k^α_k, Φ), where all p₁, p₂, …, p_k are distinct prime factors and Φ=φ_p₁×φ_p₁^α₁p₂^α₂ … p_k^α_k. For any positive integer n, φ_n=\ℓ| 1≤ ℓ

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