How big can the circuits of a bridge of a maximal circuit be?

Abstract

IfCE(G) is a maximum cardinality cocircuit of a 2-connected graphG, then no other maximum cocircuit is contained in one and the same block ofG-C. The analogous conjecture for real representable matroids would have important applications to classifying convex bodies with a certain Helly type property.

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References

  1. [1]

    M. Aigner,Combinatorial Theory, Berlin-Heidelberg-New York: Springer-Verlag, (1979).

    Google Scholar 

  2. [2]

    H. Walter andH. J. Voss,Über Kreise in Graphen, Berlin: VEB Deutscher Verlag der Wissenschaften, (1974).

    Google Scholar 

  3. [3]

    J. Kincses, The classification of 3 and 4-Helly dimensional convex bodies,Geometriae Dedicata,22 (1987), 283–301.

    Google Scholar 

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Kincses, J. How big can the circuits of a bridge of a maximal circuit be?. Combinatorica 8, 201–205 (1988). https://doi.org/10.1007/BF02122801

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AMS subject classifications(1980)

  • 05 B 35
  • 05 C 35