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Extremal problems for forbidden pairs that imply hamiltonicity

Ralph FaudreeAndrás Gyárfás — 1999

Discussiones Mathematicae Graph Theory

Let C denote the claw K 1 , 3 , N the net (a graph obtained from a K₃ by attaching a disjoint edge to each vertex of the K₃), W the wounded (a graph obtained from a K₃ by attaching an edge to one vertex and a disjoint path P₃ to a second vertex), and Z i the graph consisting of a K₃ with a path of length i attached to one vertex. For k a fixed positive integer and n a sufficiently large integer, the minimal number of edges and the smallest clique in a k-connected graph G of order n that is CY-free (does...

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