# New Approximation Algorithms for Minimum Cycle Bases of Graphs

@inproceedings{Kavitha2007NewAA,
title={New Approximation Algorithms for Minimum Cycle Bases of Graphs},
author={T. Kavitha and K. Mehlhorn and D. Michail},
booktitle={STACS},
year={2007}
}
• Published in STACS 2007
• Mathematics, Computer Science
We consider the problem of computing an approximate minimum cycle basis of an undirected edge-weighted graph G with m edges and n vertices; the extension to directed graphs is also discussed. In this problem, a {0, 1} incidence vector is associated with each cycle and the vector space over F2 generated by these vectors is the cycle space of G. A set of cycles is called a cycle basis of G if it forms a basis for its cycle space. A cycle basis where the sum of the weights of the cycles is minimum… Expand
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