Technical Report CS0802

TR#:CS0802
Class:CS
Title: A CONSTANT-FACTOR POLYNOMIAL APPROXIMATION ALGORITHM FOR THE WEIGHTED VERTEX FEEDBACK SET PROBLEM.
Authors: (782) A. Becker and D. Geiger
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Abstract:

A vertex feedback set of an undirected graph is a subset of vertices that intersects with the vertex set of each cycle in the graph. Given an undirected graph G with n vertices and weights on its vertices, a polynomial-time algorithm is provided for approximating the problem of finding a vertex feedback set of G with a smallest weight. The performance ratio attained by this algorithm is bounded by 4. The best previously known performance ratio achieved for this problem is \Min \{2 \Delta^2, 4 \Log_2 N\} where \Delta denotes the maximum degree in G and n is the number of vertices.

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