Maximal pivots on graphs with an application to gene assembly |
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Authors: | Robert Brijder Hendrik Jan Hoogeboom |
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Institution: | Leiden Institute of Advanced Computer Science, Leiden University, The Netherlands |
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Abstract: | We consider principal pivot transform (pivot) on graphs. We define a natural variant of this operation, called dual pivot, and show that both the kernel and the set of maximally applicable pivots of a graph are invariant under this operation. The result is motivated by and applicable to the theory of gene assembly in ciliates. |
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