A degree sum condition on the order, the connectivity and the independence number for Hamiltonicity

S. Chiba, M. Furuya, K. Ozeki +2

In [Graphs Combin.~24 (2008) 469--483.], the third author and the fifth author conjectured that if $G$ is a $k$-connected graph such that ${\sigma }_{k+1}(G)\ge |V(G)|+\kappa (G)+(k-2)(\alpha (G)-1)$…