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- W2068909537 abstract "A half-tree is an edge configuration whose superimposition with a perfect matching is a tree. In this paper, we prove a half-tree theorem for the Pfaffian principal minors of a skew-symmetric matrix whose column sum is zero; introducing an explicit algorithm, we fully characterize half-trees involved. This question naturally arose in the context of statistical mechanics where we aimed at relating perfect matchings and trees on the same graph. As a consequence of the Pfaffian half-tree theorem, we obtain a refined version of the matrix-tree theorem in the case of skew-symmetric matrices, as well as a line-bundle version of this result." @default.
- W2068909537 created "2016-06-24" @default.
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- W2068909537 date "2014-05-01" @default.
- W2068909537 modified "2023-09-26" @default.
- W2068909537 title "Principal minors Pfaffian half-tree theorem" @default.
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- W2068909537 doi "https://doi.org/10.1016/j.jcta.2013.12.002" @default.
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