Trees in sparse random graphs
نویسندگان
چکیده
منابع مشابه
Random Trees in Random Graphs
We show that a random labeled n-vertex graph almost surely contains isomorphic copies of almost all labeled n-vertex trees, in two senses. In the first sense, the probability of each edge occurring in the graph diminishes as n increases, and the set of trees referred to as "almost all" depends on the random graph. In the other sense, the probability of an edge occurring is fixed, and the releva...
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Let us consider the probability space Ifi(n, p) consisting of all graphs on n labeled vertices where each edge occurs with probability p =1q, independently of all other edges . The aim of this note is to find such natural numbers which are likely to occur as orders of maximal induced trees contained in a graph G E 19(n, p) when 0 < p < 1 is fixed . By a maximal induced tree we mean an induced t...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1988
ISSN: 0095-8956
DOI: 10.1016/0095-8956(88)90056-1