The paper determines that max ρ_α(G_s) equals max{ρ_α(G_1), ρ_α(G_k)} for α∈(1/2,1), identifies the unique crossing point α*(n,b), and shows G_1 or G_k is the unique extremal obstruction depending on the range of α, for n≥N_b.
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math.CO 1years
2026 1verdicts
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Sharp $A_\alpha$-Spectral Conditions for Odd $[1,b]$-Factors When $\alpha>1/2$
The paper determines that max ρ_α(G_s) equals max{ρ_α(G_1), ρ_α(G_k)} for α∈(1/2,1), identifies the unique crossing point α*(n,b), and shows G_1 or G_k is the unique extremal obstruction depending on the range of α, for n≥N_b.