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The vote assignment problem and its relation to threshold graphs

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Operations Research Proceedings 1995

Part of the book series: Operations Research Proceedings ((ORP,volume 1995))

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Abstract

We present an algorithm which solves the vote assignment problem for antichains consisting solely of sets with cardinality 2. Then we prove that vote assignable graphs correspond to the well known threshold graphs. Finally we show how to achieve aggregation of inequalities by solving a vote assignability problem.

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References

  1. V. Chvátal, P. L. Hammer: Aggregation of Inequalities in Integer Programming, Annals of Discrete Mathematics 1 (1977), pp. 145–162.

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  2. H. Garcia-Molina, D. Barbara: Optimizing the Reliability Provided by Voting Mechanisms, Proc. 4th International Conference on Distributed Computing Systems (1984), pp. 340–346.

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  3. D. K. Gifford: Weighted Voting for Replicated Data, Proc. 7th Symposium on Operating System Principles (1979), pp. 150–162.

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  4. M. C. Golumbic: Algorithmic Graph Theory and Perfect Graphs, Academic Press, 1980.

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  5. J. Orlin: The Minimal Integral Separator of a Threshold Graph, Annals of Discrete Mathematics 1 (1977), pp. 415–419.

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© 1996 Springer-Verlag Berlin Heidelberg

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Rank, C. (1996). The vote assignment problem and its relation to threshold graphs. In: Kleinschmidt, P., Bachem, A., Derigs, U., Fischer, D., Leopold-Wildburger, U., Möhring, R. (eds) Operations Research Proceedings 1995. Operations Research Proceedings, vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80117-4_14

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  • DOI: https://doi.org/10.1007/978-3-642-80117-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60806-6

  • Online ISBN: 978-3-642-80117-4

  • eBook Packages: Springer Book Archive

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