"RIV/49777513:23520/13:43917799!RIV14-MSM-23520___" . "1234-3099" . . . "http://www.discuss.wmie.uz.zgora.pl/gt/" . . . "23520" . . . . "Distance-locally disconnected graphs"@en . "cage; locally disconnected; distance; neighborhood"@en . "PL - Polsk\u00E1 republika" . "Ryan, Joe" . "1" . "Discussiones Mathematicae Graph Theory" . "Distance-locally disconnected graphs" . . "13"^^ . "3"^^ . "Distance-locally disconnected graphs"@en . . "[7BB0BD3F8E83]" . . "For a positive integer k, we say that a (finite simple undirected) graph G is k-locally disconnected if, for any vertex x, the set of vertices at distance at most k from x induces in G a disconnected graph. In the paper we study the asymptotic behavior of the number of edges of a k-locally disconnected graph on n vertices." . . . . "Distance-locally disconnected graphs" . . "33" . "10.7151/dmgt.1657" . "2"^^ . . "For a positive integer k, we say that a (finite simple undirected) graph G is k-locally disconnected if, for any vertex x, the set of vertices at distance at most k from x induces in G a disconnected graph. In the paper we study the asymptotic behavior of the number of edges of a k-locally disconnected graph on n vertices."@en . "69939" . . "Miller, Miroslava" . . . "Ryj\u00E1\u010Dek, Zden\u011Bk" . . "P(ED1.1.00/02.0090), P(GBP202/12/G061)" . "RIV/49777513:23520/13:43917799" .