Trees in random graphs
نویسندگان
چکیده
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 tree which is not properly contained in any other tree . A similar problem devoted to maximal complete subgraphs of G was considered by Bollobás and Erdös [2], who showed that for every s > 0 almost every (a.e.) graph G E 19(n, p) is such that if
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عنوان ژورنال:
- Discrete Mathematics
دوره 46 شماره
صفحات -
تاریخ انتشار 1983