Article
Keywords:
$t$-tough graph; Laplacian matrix; adjacent matrix; eigenvalues
Summary:
References:
[1] Brouwer, A. E.:
Toughness and spectrum of a graph. Linear Algebra Appl. 226-228 (1995), 267-271.
MR 1344566 |
Zbl 0833.05048
[2] Brouwer, A. E., Haemers, W. H.:
Eigenvalues and perfect matchings. Linear Algebra Appl. 395 (2005), 155-162.
MR 2112881 |
Zbl 1056.05097
[3] Chvátal, V.:
New directions in Hamiltonian graph theory in New Directions in the Theory of Graphs. F. Harary Academic Press, New York (1973), 65-95.
MR 0357221
[5] Enomoto, H., Jackson, B., Katerinis, P.:
Toughness and the existence of $k$-factors. Journal of Graph Theory 9 (1985), 87-95.
MR 0785651 |
Zbl 0598.05054
[6] Haemers, W. H.:
Interlacing eigenvalues and graphs. Linear Algebra Appl. 226-228 (1995), 593-616.
MR 1344588 |
Zbl 0831.05044
[7] Jung, H. A.:
Note on Hamiltonian graphs, in Recent Advances in Graph Theory. M. Fiedler Academia, Prague (1975), 315-321.
MR 0392692
[8] Mohar, B.:
A domain monotonicity theorem for graphs and hamiltonicity. Discrete Appl. Math. 36 (1992), 169-177.
MR 1165833 |
Zbl 0765.05071
[9] Heuvel, J. Vanden:
Hamilton cycles and eigenvalues of graphs. Linear Algebra Appl. 226-228 (1995), 723-730.
MR 1344594