Abstract
The Maximum Cycle Packing problem is an important class of NP-hard problems, which has lots of applications in many fields. In this paper, we study Parameterized Planar Vertex-Disjoint Cycle Packing problem, which is to find k vertex-disjoint cycles in a given planar graph. The current best kernel size for this problem is \(1209k-1317\). Based on properties of maximal cycle packing, small cycles, degree-2 paths, and new reduction rules given, a kernel of size \(415k-814\) is presented for Parameterized Planar Vertex-Disjoint Cycle Packing problem.
This work is supported by the National Natural Science Foundation of China under Grants (61420106009, 61232001, 61472449, 61672536).
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Feng, Q., Liao, X., Wang, J. (2017). Planar Vertex-Disjoint Cycle Packing: New Structures and Improved Kernel. In: Gao, X., Du, H., Han, M. (eds) Combinatorial Optimization and Applications. COCOA 2017. Lecture Notes in Computer Science(), vol 10628. Springer, Cham. https://doi.org/10.1007/978-3-319-71147-8_37
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DOI: https://doi.org/10.1007/978-3-319-71147-8_37
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