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Content available remote Randomly kCn graphs
EN
A graph G is said to be a randomly H graph if and only if any subgraph of G without isolated vertices, which is isomorphic to a subgraph of H, can be extended to a subgraph H1 of G such that H1 is isomorphic to H. The problem of characterization of randomly H graphs, where H is r-regular graph on p vertices, was given by Tomasta and Tomová. In general, the characterization of such graphs seems to be difficult. However, there exist several results for the case r = 2. Chartrand, Oellermann, and Ruiz characterized randomly Cn graphs. Híc and Pokorný characterized randomly 2Cn graphs, as well as randomly Cn U Cm graphs, where n ≠ m. In this paper, the problem of randomly H graphs, where H = kCn , k > 2 is discussed.
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