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Let G be a k‐connected graph of order n, α: = α(G) the independence number of G, and c(G) the circumference of G. Chvátal and Erdős proved that if α⩽kthen G is hamiltonian. For α⩾k⩾2, Fouquet and Jolivet in 1978 made the conjecture that c(G)⩾k(n+ α − k)/α. Fournier proved that the conjecture is true for α⩽k+ 2 or k = 2 in two different papers. Manoussakis recently proved that the conjecture is true...
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