منابع مشابه
Efficient construction of broadcast graphs
A broadcast graph is a connected graph, G = (V,E), |V | = n, in which each vertex can complete broadcasting of one message within at most t = ⌈logn⌉ time units. A minimum broadcast graph on n vertices is a broadcast graph with the minimum number of edges over all broadcast graphs on n vertices. The cardinality of the edge set of such a graph is denoted by B(n). In this paper we construct a new ...
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Consider partitions of the vertex set of a graph G into two sets with sizes differing by at most 1: the bisection width of G is the minimum over all such partitions of the number of ‘‘cross edges’’ between the parts. We are interested in sparse random graphs Ž . G with edge probability c n. We show that, if c ln 4, then the bisection width is n n, c n with high probability; while if c ln 4, the...
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Quasi-random graph properties form a large equivalence class of graph properties which are all shared by random graphs. In recent years, various aspects of these properties have been treated by a number of authors (e.g., see [5]-[14], [16], [23]-[27]). Almost all of these results deal with dense graphs, that is, graphs on n vertices having cn edges for some c > 0 as n → ∞. In this paper, we ext...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1992
ISSN: 0166-218X
DOI: 10.1016/0166-218x(92)90226-z