The maximum spectral radius of an F6-free graph with m≥88 edges is (1+√(4m−3))/2, attained only by K2 ∨ ((m−1)/2)K1.
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Spectral radius of graphs of given size with forbidden a fan graph $F_6$
The maximum spectral radius of an F6-free graph with m≥88 edges is (1+√(4m−3))/2, attained only by K2 ∨ ((m−1)/2)K1.