Document Type
Article
Publication Date
2-25-2019
Abstract
In order to increase the potential kidney transplants between patients and their incompatible donors, kidney exchange programs have been created in many countries. In the programs, designing algorithms for the kidney exchange problem plays a critical role. The graph theory model of the kidney exchange problem is to find a maximum weight packing of vertex-disjoint cycles and chains for a given weighted digraph. In general, the length of cycles is not more than a given constant L (typically 2 L 5), and the objective function corresponds to maximizing the number of possible kidney transplants. In this paper, we study the parameterized complexity and randomized algorithms for the kidney exchange problem without chains from theory. We construct two different parameterized models of the kidney exchange problem for two cases L = 3 and L 3, and propose two randomized parameterized algorithms based on the random partitioning technique and the randomized algebraic technique, respectively.
Recommended Citation
Lin, M., Wang, J., Feng, Q., & Fu, B. (2019). Randomized Parameterized Algorithms for the Kidney Exchange Problem. Algorithms, 12(2), 50. https://doi.org/10.3390/a12020050
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Algorithms
DOI
10.3390/a12020050
Comments
Original published version available at https://doi.org/10.3390/a12020050