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Über die minimalen Seitenzahlen von Polytopen ohne dreieckige 2-Seiten

On the minimum number of faces of polytopes without triangular 2-faces

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Abstract

LetP be ad-polytope without triangular 2-faces,K ad-cube andf n (P),f n (K) the respective number ofn-faces. It is shown for simpleP or in dimensiond≤4 thatf n (P)≥f n (K), and for anyn equality holds if and only ifP andK are combinatorially equivalent.

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Authors and Affiliations

  1. Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, Bundesrepublik Deutschland

    G. Blind

  2. Waldburgstrasse 88, D-7000, Stuttgart 80, Bundesrepublik Deutschland

    R. Blind

Authors
  1. G. Blind
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  2. R. Blind
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Blind, G., Blind, R. Über die minimalen Seitenzahlen von Polytopen ohne dreieckige 2-Seiten. Monatshefte für Mathematik 98, 179–184 (1984). https://doi.org/10.1007/BF01507746

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  • DOI: https://doi.org/10.1007/BF01507746

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