Geodesic
Pairs of forbidden class of subgraphs concerning $K_{1,3}$ and P₆ to have a cycle containing specified vertices
Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 3, pp. 645-650

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In [3], Faudree and Gould showed that if a 2-connected graph contains no K_1,3 and P₆ as an induced subgraph, then the graph is hamiltonian. In this paper, we consider the extension of this result to cycles passing through specified vertices. We define the families of graphs which are extension of the forbidden pair K_1,3 and P₆, and prove that the forbidden families implies the existence of cycles passing through specified vertices.
Keywords: forbidden subgraph, cycle 
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     title = {Pairs of forbidden class of subgraphs concerning $K_{1,3}$ and {P₆} to have a cycle containing specified vertices},
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Sugiyama, Takeshi; Tsugaki, Masao. Pairs of forbidden class of subgraphs concerning $K_{1,3}$ and P₆ to have a cycle containing specified vertices. Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 3, pp. 645-650. http://geodesic.mathdoc.fr/item/DMGT_2009_29_3_a13/