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Imperfect and Nonideal Clutters: ACommon Approach
Authors:Grigor?Gasparyan  mailto:grigor@mondes.com"   title="  grigor@mondes.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Myriam?Preissmann,András?Seb?
Affiliation:(1) Yerevan State University, Yerevan-49, Armenia;(2) CNRS, Département de Mathématiques Discrètes, Laboratoire LEIBNIZ-IMAG, 46 avenue Félix Viallet, 38000 Grenoble Cedex 1, France;(3) CNRS, Département de Mathématiques Discrètes, Laboratoire LEIBNIZ-IMAG, 46 avenue Félix Viallet, 38000 Grenoble Cedex 1, France
Abstract:
We prove three theorems. First, Lovászrsquos theorem aboutminimal imperfect clutters, including also Padbergrsquoscorollaries. Second, Lehmanrsquos result on minimal nonidealclutters. Third, a common generalization of these two. Theendeavor of working out a lsquocommon denominatorrsquo for Lovászrsquos andLehmanrsquos theorems leads, besides the common generalization, to abetter understanding and simple polyhedral proofs ofboth.* Visiting of the French Ministry of Research andTechnology, laboratoire LEIBNIZ, Grenoble, November 1995—April1996.
Keywords:05B40  90C57  90C10  05C17  05C15
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