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What and Who

A fast algorithm for computing steiner edge connectivity" (Published in STOC 2003. Author : Cole-Ramesh)

Anand Bhalgat
Max-Planck-Institut für Informatik - D 1
AG1 Mittagsseminar (others' work)
AG 1, AG 2, AG 3, AG 4, AG 5  
AG Audience
-- Not specified --

Date, Time and Location

Friday, 23 June 2006
13:30
-- Not specified --
E1 4
023
Saarbrücken

Abstract

This is a result from the paper "A fast algorithm for computing steiner edge connectivity" (Richard Cole, Ramesh Hariharan. STOC 2003). Given a graph G either undirected or eulerian and a subset of vertices of the graph S, steiner connectivity of S is the edge connectivity of vertices in S(minimum value of cut in G separating the vertices of S). The paper presents an algorithm to compute the steiner connectivity k of vertices in S. The complexity of the algorithm is linear in n.(O(nk^3+m)). The algorithm is based on efficient construction of tree packing which uses a generalization of Edmond's tree packing theorem. The result can be used to

compute efficiently the cactus tree representing all significant steiner cuts which can used for fast implementation of approximation algorithm the survivable network design problem due to Goemans, Williamson and Mihail Vazirani.

Contact

Khaled Elbassioni
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Khaled Elbassioni, 06/19/2006 13:57 -- Created document.