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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McGuinness, S. Bonds Intersecting Cycles In A Graph. Combinatorica 25, 439–450 (2005). https://doi.org/10.1007/s00493-005-0026-6
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Mathematics Subject Classification (2000):
- 05C38
- 05C35