The undirected feedback vertex set problem with application to wavelength converter placement on WDM networks

Toshinori Yamada, Yusuke Tada, Taka-aki Tanaka · 2010

This paper considers a size constrained version of the undirected feedback vertex set problem motivated by placing wavelength converters on a WDM network efficiently, and proves that this problem is NP-complete even in several special cases. Moreover, the paper presents a simple approximation algorithm for a minimization version of the problem using an algorithm for the original minimum undirected feedback vertex set problem.

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