Fang Duan

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math.SP2025

Inertia indices of signed graphs with given cyclomatic number and given number of pendant vertices

Jie Pu, Fang Duan

Let $Γ = (G, σ)$ be a signed graph of order $n$ with underlying graph $G$ and a sign function $σ : E (G) \to {+, -}$ . Denoted by $i_{+} (Γ)$ , $θ (Γ)$ and $p (Γ)$ the positive inert…

math.SP2025

Connected signed graphs with given inertia indices and given girth

Beiyan Liu, Fang Duan

Suppose that $Γ = (G, σ)$ is a connected signed graph with at least one cycle. The number of positive, negative and zero eigenvalues of the adjacency matrix of $Γ$ are called positiv…