Abstract
Las Vergnas [6] and Nguyen [7] independently described the free erection of a matroid M and gave an algorithm for the determination of the hyperplanes of the free erection of M. The purpose of this paper is to look at the connection between erections of M and one-point extensions of the dual M*, and show that the Las Vergnas—Nguyen algorithm is the dual of an algorithm to construct the modular cut of M* generated by the cyclic flats of M*.
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