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- W1980307941 abstract "Given an undirected graph G=(V,E) with |V|=n and |E|=m, nonnegative integers ce and de for each edge $e in E$, and a bound D, the constrained minimum spanning tree problem (CST) is to find a spanning tree T=(V,ET) such that $sum_{e in E_T} d_e leq D$ and $sum_{e in E_T} c_e$ is minimized. We present an efficient polynomial time approximation scheme (EPTAS) for this problem. Specifically, for every $epsilon>0$ we present a $(1+epsilon)$-approximation algorithm with time complexity $O((frac{1}{epsilon})^{O(frac{1}{epsilon})}n^4)$. Our method is based on Lagrangian relaxation and matroid intersection." @default.
- W1980307941 created "2016-06-24" @default.
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- W1980307941 date "2004-01-01" @default.
- W1980307941 modified "2023-10-14" @default.
- W1980307941 title "An Efficient Polynomial Time Approximation Scheme for the Constrained Minimum Spanning Tree Problem Using Matroid Intersection" @default.
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- W1980307941 doi "https://doi.org/10.1137/s0097539703426775" @default.
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