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# Smithy
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# Smithy
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*A simple Smith set solver for ranked-choice ballots.*
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*A simple Smith set solver for ranked-choice ballots.*
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The Smith set is the minimal set of election candidates which can beat all others pairwise
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The [Smith set](https://en.wikipedia.org/wiki/Smith_set) is the minimal set of election candidates which can beat all others pairwise
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(by simple majority ranking preference) - if there is a single winner in the set they are
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(by simple majority ranking preference) - if there is a single winner in the set they are
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guaranteed the standard Condorcet i.e. Majority winner (they beat all others pairwise).
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guaranteed the standard [Condorcet i.e. Majority winner](https://en.wikipedia.org/wiki/Condorcet_winner) (they beat all others pairwise).
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`smithy` identifies the Smith set via graph Strongly Connected Component (SCC) analysis of
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`smithy` identifies the Smith set via graph Strongly Connected Component (SCC) analysis of
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the pairwise majority graph using [`rustworkx`](https://www.rustworkx.org/).
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the pairwise majority graph using [`rustworkx`](https://www.rustworkx.org/).
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