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A Linear Time Algorithm for Computing Longest Paths in Cactus Graphs

Markov, MinkoIonut Andreica, MugurelManev, KrassimirTapus, Nicolae — 2012

Serdica Journal of Computing

ACM Computing Classification System (1998): G.2.2. We propose an algorithm that computes the length of a longest path in a cactus graph. Our algorithm can easily be modified to output a longest path as well or to solve the problem on cacti with edge or vertex weights. The algorithm works on rooted cacti and assigns to each vertex a two-number label, the first number being the desired parameter of the subcactus rooted at that vertex. The algorithm applies the divide-and-conquer approach...

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