TR
EN
Bounds for Resistance–Distance Spectral Radius
Abstract
Lower and upper bounds as well as Nordhauss-Gaddum-type results forthe resistance–distance spectral radius are obtained.
Keywords
References
- Balaban, A. T., Ciubotariu, D. and Medeleanu, M. Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J. Chem. Inf. Comput. Sci. 31, 517-523, 1991.
- Bapat R. B. Resistance distance in graphs, Math. Student 68, 87-98, 1999.
- Bapat R. B. Resistance matrix of a weighted graph, MATCH Commun. Math. Comput. Chem. 50, 73-82, 2004.
- Bapat R. B., Gutman, I. and Xiao, W. A simple method for computing resistance distance, Z. Naturforsch. 58a, 494-498, 2003.
- Bendito, E., Carmona, A., Encinas, A. M, Gesto, J. M. and Mitjana, M Kirchhoff indexes of a network, Lin. Algebra Appl. 432, 2278-2292, 2010.
- Bonchev, D., Balaban, A. T., Liu, X. and Klein, D. J. Molecular cyclicity and centricity of polycyclic graphs. I. Cyclicity based on resistance distances or reciprocal distances, Int. J. Quantum Chem. 50, 1-20, 1994.
- Cao, D., Chvatal, V, Hoffman, A, J. and Vince, A. Variations on a theorem of Ryser, Lin. Algebra Appl. 260, 215-222, 1997.
- Chen, H. and Zhang, F. Resistance distance and the normalized Laplacian spectrum, Discr. Appl. Math. 155, 654-661, 2007.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
January 1, 2013
Submission Date
May 11, 2014
Acceptance Date
-
Published in Issue
Year 2013 Volume: 42 Number: 1
APA
Maden, A. D. G., Gutman, İ., & Çevik, A. S. (2013). Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics, 42(1), 43-50. https://izlik.org/JA97KT95PX
AMA
1.Maden ADG, Gutman İ, Çevik AS. Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics. 2013;42(1):43-50. https://izlik.org/JA97KT95PX
Chicago
Maden, A. Dilek Güngör, İvan Gutman, and A. Sinan Çevik. 2013. “Bounds for Resistance–Distance Spectral Radius”. Hacettepe Journal of Mathematics and Statistics 42 (1): 43-50. https://izlik.org/JA97KT95PX.
EndNote
Maden ADG, Gutman İ, Çevik AS (January 1, 2013) Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics 42 1 43–50.
IEEE
[1]A. D. G. Maden, İ. Gutman, and A. S. Çevik, “Bounds for Resistance–Distance Spectral Radius”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 1, pp. 43–50, Jan. 2013, [Online]. Available: https://izlik.org/JA97KT95PX
ISNAD
Maden, A. Dilek Güngör - Gutman, İvan - Çevik, A. Sinan. “Bounds for Resistance–Distance Spectral Radius”. Hacettepe Journal of Mathematics and Statistics 42/1 (January 1, 2013): 43-50. https://izlik.org/JA97KT95PX.
JAMA
1.Maden ADG, Gutman İ, Çevik AS. Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics. 2013;42:43–50.
MLA
Maden, A. Dilek Güngör, et al. “Bounds for Resistance–Distance Spectral Radius”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 1, Jan. 2013, pp. 43-50, https://izlik.org/JA97KT95PX.
Vancouver
1.A. Dilek Güngör Maden, İvan Gutman, A. Sinan Çevik. Bounds for Resistance–Distance Spectral Radius. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 Jan. 1;42(1):43-50. Available from: https://izlik.org/JA97KT95PX