Sparse reliable graph backbones
نویسندگان
چکیده
منابع مشابه
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independently with probability pe. In this paper it is shown that every n-vertex graph contains a sparse backbone, i.e., a spanning subgraph with O(n log n) edges whose reliability is at least (1−n−Ω(1)) times that ofG. Moreove...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 2012
ISSN: 0890-5401
DOI: 10.1016/j.ic.2011.10.007