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A class of matroids derived from saturated chain partitions of partially ordered sets |
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| Authors: | W A Denig |
| Institution: | Department of Mathematics, The Citadel, Charleston, South Carolina 29409 USA |
| Abstract: | The simultaneously k- and (k − 1)-saturated chain partitions of a finite partially ordered set P determine a matroid Gk(P). This matroid is a gammoid. The identity on P induces a strong map from Gk(P) to Gk + 1(P). This strong map has a linear representation. |
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