A natural question for matroids follows: Which matroids N guarantee that, when present as minors in a larger matroid M, their duals are present as minors? The main results of this paper focus on this question with the additional constraint that N and M are 3-connected. We also solve the problem with other connectivity and representability constraints. (C) 2015 Elsevier Inc. All rights reserved.
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Univ Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USAUniv Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USA
Phelps, RH
Schaff, EA
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Univ Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USAUniv Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USA
Schaff, EA
Fielding, SL
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Univ Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USAUniv Rochester, Dept Family Med, Reprod Hlth Program, Rochester, NY 14642 USA
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Univ Rey Juan Carlos, Fac Ciencias Comunicac, Camino Molino 5, Fuenlabrada 28943, Madrid, SpainUniv Rey Juan Carlos, Fac Ciencias Comunicac, Camino Molino 5, Fuenlabrada 28943, Madrid, Spain
Martinez-Pastor, Esther
Vizcaino-Laorga, Ricardo
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Univ Rey Juan Carlos, Fac Ciencias Comunicac, Camino Molino 5, Fuenlabrada 28943, Madrid, SpainUniv Rey Juan Carlos, Fac Ciencias Comunicac, Camino Molino 5, Fuenlabrada 28943, Madrid, Spain