Not every 2-tough graph is Hamiltonian

Bauer, D. and Broersma, H.J. and Veldman, H.J. (2000) Not every 2-tough graph is Hamiltonian. Discrete Applied Mathematics, 99 (1-3). pp. 317-321. ISSN 0166-218X

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Abstract:	We present (9/4-ε)-tough graphs without a Hamilton path for arbitrary >0, thereby refuting a well-known conjecture due to Chvátal. We also present (7/4-ε) -tough chordal graphs without a Hamilton path for any ε>0.
Item Type:	Article
Copyright:	© 2000 Elsevier
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Discrete Mathematics and Mathematical Programming (DMMP)
Link to this item:	http://purl.utwente.nl/publications/74276
Official URL:	http://dx.doi.org/10.1016/S0166-218X(99)00141-9
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Metis ID: 140633