Approximating layout problems on random graphs
نویسندگان
چکیده
منابع مشابه
Approximating layout problems on random graphs
We show that, with overwhelming probability, several well known layout problems are approximable within a constant for random graphs drawn from the G(n, pn) model where C/n ≤ pn ≤ 1 for all n big enough and for some properly characterized parameter C > 1. In fact, our results establish that, with overwhelming probability, the cost of any arbitrary layout of such a random graph is within a const...
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In this paper, we study the approximability of several layout problems on a family of random geometric graphs. Vertices of random geometric graphs are randomly distributed on the unit square and are connected by edges whenever they are closer than some given parameter. The layout problems that we consider are: Bandwidth, Minimum Linear Arrangement, Minimum Cut Width, Minimum Sum Cut, Vertex Sep...
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Inspired by previous work of Diaz, Petit, Serna, and Trevisan (Approximating layout problems on random graphs Discrete Mathematics, 235, 2001, 245–253), we show that several well-known graph layout problems are approximable to within a factor arbitrarily close to 1 of the optimal with high probability for random graphs drawn from an ErdösRenyi distribution with appropriate sparsity conditions. ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2001
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(00)00278-8