Abstract
Manlove and O’Malley [9] proposed the Student-Project Allocation Problem with Preferences over Projects (SPA-P). They proved that the problem of finding a maximum stable matching in SPA-P is APX-hard and gave a polynomial-time 2-approximation algorithm. In this paper, we give an improved upper bound of 1.5 and a lower bound of \(21/19 \ (>1.1052)\).
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References
Abraham, D.J., Irving, R.W., Manlove, D.F.: Two algorithms for the Student-Project Allocation problem. J. Discrete Algorithms 5(1), 73–90 (2007)
Dinur, I., Safra, S.: On the hardness of approximating minimum vertex-cover. Annals of Mathematics 162(1), 439–485 (2005)
Gale, D., Shapley, L.S.: College admissions and the stability of marriage. Amer. Math. Monthly 69, 9–15 (1962)
Gusfield, D., Irving, R.W.: The Stable Marriage Problem: Structure and Algorithms. MIT Press, Boston (1989)
Halldórsson, M.M., Iwama, K., Miyazaki, S., Yanagisawa, H.: Improved approximation results for the stable marriage problem. ACM Transactions on Algorithms 3(3), article no. 30 (2007)
Iwama, K., Miyazaki, S., Yanagisawa, H.: A 25/17-approximation algorithm for the stable marriage problem with one-sided ties. In: de Berg, M., Meyer, U. (eds.) ESA 2010. LNCS, vol. 6347, pp. 135–146. Springer, Heidelberg (2010)
Király, Z.: Better and simpler approximation algorithms for the stable marriage problem. Algorithmica (2009), doi: 10.1007/s00453-009-9371-7
Manlove, D.F., Irving, R.W., Iwama, K., Miyazaki, S., Morita, Y.: Hard variants of stable marriage. Theoretical Computer Science 276(1-2), 261–279 (2002)
Manlove, D.F., O’Malley, G.: Student-project allocation with preferences over projects. Journal of Discrete Algorithms 6, 553–560 (2008)
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Iwama, K., Miyazaki, S., Yanagisawa, H. (2011). Improved Approximation Bounds for the Student-Project Allocation Problem with Preferences over Projects. In: Ogihara, M., Tarui, J. (eds) Theory and Applications of Models of Computation. TAMC 2011. Lecture Notes in Computer Science, vol 6648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20877-5_43
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DOI: https://doi.org/10.1007/978-3-642-20877-5_43
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