Bonds Intersecting Cycles In A Graph

Let G be a k-connected graph G having circumference c ≥ 2k. It is shown that for k ≥ 2, then there is a bond B which intersects every cycle of length c-k + 2 or greater.

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Correspondence to Sean McGuinness.

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McGuinness, S. Bonds Intersecting Cycles In A Graph. Combinatorica 25, 439–450 (2005).

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Mathematics Subject Classification (2000):

  • 05C38
  • 05C35