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Parameterized Complexity of Candidate Control in Elections and Related Digraph Problems

机译:选举中候选控制的参数化复杂度和相关的有向图问题

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摘要

There are different ways for an external agent to influence the outcome of an election. We concentrate on "control" by adding or deleting candidates of an election. Our main focus is to investigate the parameterized complexity of various control problems for different voting systems. To this end, we introduce natural digraph problems that may be of independent interest. They help in determining the parameterized complexity of control for different voting systems including Llull, Copeland, and plurality votings. Devising several parameterized reductions, we provide a parameterized complexity overview of the digraph and control problems with respect to natural parameters.
机译:外部代理人以不同方式影响选举结果。我们通过添加或删除候选人来专注于“控制”。我们的主要重点是研究针对不同投票系统的各种控制问题的参数化复杂性。为此,我们介绍了可能有独立利益的自然有向图问题。它们有助于确定不同投票系统(包括Llull,Copeland和多个投票)的参数化控制复杂性。通过设计几个参数化的约简,我们提供了有向图的参数化复杂度概述,以及关于自然参数的控制问题。

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