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


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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Kincses, J. How big can the circuits of a bridge of a maximal circuit be?. Combinatorica 8, 201–205 (1988).

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AMS subject classifications(1980)

  • 05 B 35
  • 05 C 35