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

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Abstract

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

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

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Authors and Affiliations

  1. Bolyai Institute, József Attila University, Aradi vértanúk tere 1, 6720, Szeged

    J. Kincses

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  1. J. Kincses
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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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  • DOI: https://doi.org/10.1007/BF02122801

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