Alavi, Yousef; Lick, Don R.; Tian, Songlin Randomly complete n-partite graphs. (English) Zbl 0709.05035 Math. Slovaca 39, No. 3, 241-250 (1989). Let G be a graph containing a subgraph H without isolated vertices. G is a ‘randomly H graph’ if any subgraph of G without isolated vertices which is isomorphic to a subgraph of H can be extended to a subgraph \(H'\) of G which is isomorphic to H. In this paper various results are proved concerning the case when H is bipartite, particularly complete bipartite. Reviewer: G.Grimmett Cited in 1 ReviewCited in 1 Document MSC: 05C99 Graph theory 05C80 Random graphs (graph-theoretic aspects) Keywords:n-partite graphs; randomly matchable PDFBibTeX XMLCite \textit{Y. Alavi} et al., Math. Slovaca 39, No. 3, 241--250 (1989; Zbl 0709.05035) Full Text: EuDML References: [1] CHARTRAND G., LESNIAK-FOSTER L.: Graphs & Digraphs. 2nd edition, Wadsworth&Brooks, Monterey, CA, 1986. · Zbl 0403.05027 [2] CHARTRAND G., KRONK H. V.: Randomly traceable graphs. SIAM J. Appl. Math., 16, 1968, 696-700. · Zbl 0164.54202 · doi:10.1137/0116056 [3] CARTRAND G., OELLERMANN O., RUIZ S.: Randomly H graphs. Math. Slovaca, 36, 1986, 129-136. · Zbl 0655.05052 [4] ORE O.: A problem regarding the tracing of graphs. Elem. Math., 6, 1951, 49-53. · Zbl 0043.38503 [5] SUMNER D. P.: Randomly matchable graphs. J. Graph Theory, 3, 1979, 183-186. · Zbl 0404.05053 · doi:10.1002/jgt.3190030209 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.