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In an undirected graph G=(V,E) with a weight function w:E×V→Q+, the weighted degree dw(v;E) of a vertex v is defined as ∑{w(e,v)∣e∈Eincident tov}. In this paper, we consider a network design problem which has upper-bounds on weighted degrees of vertices as its constraints while the objective is to compute a minimum cost graph with a prescribed connectivity. We propose bi-criteria approximation algorithms...
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