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Showing 1 to 1 of 1 for “"independent number"”.
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Extremal problems on cycles, packing, and decomposition of graphs
… whose connectivity is at least its independence number has a spanning cycle. In 1976, Fouquet and Jolivet conjectured an extension: If G is an n-vertex k-connected graph with independence number a, and a ≥ k, then G has a cycle with length at least k(n+a−k)/a . In Chapter 2 we prove this …