Minimum spanning trees of weighted scale-free networks
نویسندگان
چکیده
منابع مشابه
Minimum weight spanning trees of weighted scale free networks
In this lecture we will consider the minimum weight spanning tree (MST) problem, i.e., one of the simplest and most vital combinatorial optimization problems. We will discuss a particular greedy algorithm that allows to compute a MST for undirected weighted graphs, namely Kruskal’s algorithm, and we will study the structure of MSTs obtained for weighted scale free random graphs. This is meant t...
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We study Erdös-Rényi random graphs with random weights associated with each link. In our approach, nodes connected by links having weights below the percolation threshold form clusters, and each cluster merges into a single node, thus generating a new “clusters network”. We show that this network is scale-free with λ = 2.5. Furthermore, we show that optimization causes the percolation threshold...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2005
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2005-10232-x