Title
Not every 2-tough graph is Hamiltonian
Abstract
We present ( 9 4 −ε) -tough graphs without a Hamilton path for arbitrary ε>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 .
Year
DOI
Venue
2000
10.1016/S0166-218X(99)00141-9
Discrete Applied Mathematics
Keywords
Field
DocType
05c35,2-tough graph,chordal graph,05c38,toughness,05c45,hamiltonian graph,traceable graph
Graph theory,Discrete mathematics,Combinatorics,Indifference graph,Hamiltonian path,Chordal graph,Hamiltonian path problem,Connectivity,Pathwidth,Longest path problem,Mathematics
Journal
Volume
Issue
ISSN
99
1
Discrete Applied Mathematics
Citations 
PageRank 
References 
31
2.09
3
Authors
3
Name
Order
Citations
PageRank
D. Bauer120438.81
H. J. Broersma226633.68
H. J. Veldman326244.44