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Approximation Algorithms
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Graduate
By
Shiva Kintali
on June 17, 2012 | Updated Dec. 6, 2017
Vertex cover using DFS
Consider the following algorithm for Vertex Cover of a graph \(G\) : Run depth first search (DFS) on \(G\). Output the vertices which are not leaves in the DFS tree. Prove the following : The ou…
Computer Science
Mathematics
Approximation Algorithms
Graph Theory
vertex cover
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Graduate
By
Shiva Kintali
on June 8, 2012 | Updated Dec. 6, 2017
Approximating (1,2)-TSP
Let \(G\) be a complete directed graph i.e., if \(u\) and \(v\) are vertices of \(G\) then both the directed edges \((u,v)\) and \((v,u)\) are present. \((1,2)\)-graphs are complete directed graphs wi…
Computer Science
Approximation Algorithms
traveling salesman
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Graduate
By
Shiva Kintali
on July 3, 2012 | Updated Dec. 6, 2017
Minimum makespan problem
Minimum makespan scheduling problem : You are given \(n\) jobs and \(m\) identical machines. You are given processing times (say \(t_i\)) for the \(n\) jobs. Your goal is to find an assignment of the …
Computer Science
Approximation Algorithms
scheduling
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Graduate
By
Shiva Kintali
on June 17, 2012 | Updated Dec. 6, 2017
SONET ring loading
Consider a telephone network that consists of a cycle on \(n\) nodes, numbered \(0\) through \(n-1\) clockwise around the cycle. Let \(S\) be a set of calls. Each call is a pair \((i,j)\) originating …
Computer Science
Approximation Algorithms
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