On Toughness and Hamiltonicity of 2K2‐Free Graphs

@article{Broersma2014OnTA,
  title={On Toughness and Hamiltonicity of 2K2‐Free Graphs},
  author={Hajo Broersma and Viresh Patel and Artem V. Pyatkin},
  journal={Journal of Graph Theory},
  year={2014},
  volume={75}
}
The toughness of a (noncomplete) graph G is the minimum value of t for which there is a vertex cut A whose removal yields |A|/t components. Determining toughness is an NP‐hard problem for general input graphs. The toughness conjecture of Chvátal, which states that there exists a constant t such that every graph on at least three vertices with toughness at least t is hamiltonian, is still open for general graphs. We extend some known toughness results for split graphs to the more general class… 
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