For b > a, every connected n-vertex graph with minimum degree at least a and spectral radius at least rho(H^{a,b}_n) contains an [a,b]-factor, except H^{a,b}_n itself.
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A note on the spectral radius and $[a,b]$-factor of graphs
For b > a, every connected n-vertex graph with minimum degree at least a and spectral radius at least rho(H^{a,b}_n) contains an [a,b]-factor, except H^{a,b}_n itself.