Derives sharp upper bounds on ρ_α(G) − ρ_α(G−v) and a parameterized corollary that unifies and improves prior inequalities for ρ(G) and q(G).
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves λ₁(Γ) ≤ √[λ₁²(Γ−v) + 2d_Γ(v)−1] for signed graphs Γ and characterizes equality cases as switching-equivalent to balanced complete signed graphs when connected and deg(v)≥2.
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Sharp upper bounds on the $A_\alpha$-spectral radius of graphs
Derives sharp upper bounds on ρ_α(G) − ρ_α(G−v) and a parameterized corollary that unifies and improves prior inequalities for ρ(G) and q(G).
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Index perturbation of signed graphs
Proves λ₁(Γ) ≤ √[λ₁²(Γ−v) + 2d_Γ(v)−1] for signed graphs Γ and characterizes equality cases as switching-equivalent to balanced complete signed graphs when connected and deg(v)≥2.