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New Light on Bergman Complexes by Decomposing Matroid Types

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Abstract

We give a shorter proof of the fact, that Bergman complexes of matroids can be subdivided to realizations of the nested set complexes of the lattice of flats. Then, we present a direct sum decomposition into connected summands of the matroid types of faces of Bergman complexes.

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  1. University of Bremen, Bibliothekstr. 1, 28359, Bremen, Germany

    Martin Dlugosch

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  1. Martin Dlugosch
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Correspondence to Martin Dlugosch.

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Dlugosch, M. New Light on Bergman Complexes by Decomposing Matroid Types. Order 31, 101–114 (2014). https://doi.org/10.1007/s11083-013-9290-8

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  • DOI: https://doi.org/10.1007/s11083-013-9290-8

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