We study the complexity and approximability of Cut Packing and Cycle Packing. For Cycle Packing, we show that the problem is APX-hard but can be approximated within a factor of O(log n) by a simple greedy approach. Essentially the same approach achieves constant approximation for "dense" graphs. We show that both problems are NP-hard for planar graphs. For Cut Packing we show that, given a graph G the maximum cut packing is always between α(G) and 2 α(G). We then derive new or improved polynomial-time algorithms for Cut Packing for special classes of graphs.
CITATION STYLE
Caprara, A., Panconesi, A., & Rizzi, R. (2001). Packing cycles and cuts in undirected graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2161, pp. 512–523). Springer Verlag. https://doi.org/10.1007/3-540-44676-1_43
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