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- W2056549313 abstract "Ryjáček introduced a closure concept for claw-free graphs based on local completion of a locally connected vertex. Connected graphs A, for which the class of (C,A)-free graphs is stable under the closure, were completely characterized. In this paper, we introduce a variation of the closure concept based on local completion of a locally connected edge of a claw-free graph. The closure is uniquely determined and preserves the value of the circumference of a graph. We show that the class of (C,A)-free graphs is stable under the edge-closure if A∈{H,Pi,Ni,j,k}." @default.
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- W2056549313 date "2010-07-01" @default.
- W2056549313 modified "2023-09-24" @default.
- W2056549313 title "The edge-closure concept for claw-free graphs and the stability of forbidden subgraphs" @default.
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- W2056549313 doi "https://doi.org/10.1016/j.disc.2010.02.005" @default.
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