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@article{Barbero2016LinearVertexKF, title={Linear-Vertex Kernel for the Problem of Packing r-Stars into a Graph without Long Induced Paths}, author={Florian Barbero and Gregory Gutin and Mark Jones and Bin Sheng and Anders Yeo}, journal={Inf. Process. Lett.}, year={2016}, volume={116}, pages={433-436} }

- Published 2016 in Inf. Process. Lett.
DOI:10.1016/j.ipl.2016.01.007

Let integers r ≥ 2 and d ≥ 3 be fixed. Let Gd be the set of graphs with no induced path on d vertices. We study the problem of packing k vertex-disjoint copies of K1,r (k ≥ 2) into a graph G from parameterized preprocessing, i.e., kernelization, point of view. We show that every graph G ∈ Gd can be reduced, in polynomial time, to a graph G′ ∈ Gd with O(k… CONTINUE READING

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