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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > MOHAMMAD R. SALAVATIPOUR:
All reports by Author Mohammad R. Salavatipour:

TR06-008 | 23rd November 2005
MohammadTaghi Hajiaghayi, Guy Kortsarz, Mohammad R. Salavatipour

Polylogarithmic Approximation Algorithm for Non-Uniform Multicommodity Buy-at-Bulk

We consider the non-uniform multicommodity buy-at-bulk network
design problem. In this problem we are given a graph $G(V,E)$ with
two cost functions on the edges, a buy cost $b:E\longrightarrow \RR^+$ and a rent cost
$r:E\longrightarrow\RR^+$, and a set of source-sink pairs $s_i,t_i\in V$ ($1\leq i\leq \alpha$)
with each pair $i$ ... more >>>


TR06-007 | 23rd November 2005
MohammadTaghi Hajiaghayi, Guy Kortsarz, Mohammad R. Salavatipour

Approximating Buy-at-Bulk $k$-Steiner trees

In the buy-at-bulk $k$-Steiner tree (or rent-or-buy
$k$-Steiner tree) problem we are given a graph $G(V,E)$ with a set
of terminals $T\subseteq V$ including a particular vertex $s$ called
the root, and an integer $k\leq |T|$. There are two cost functions
on the edges of $G$, a buy cost $b:E\longrightarrow ... more >>>




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