Research Article

Bounds for Resistance–Distance Spectral Radius

Volume: 42 Number: 1 January 1, 2013
  • A. Dilek Güngör Maden
  • İvan Gutman
  • A. Sinan Çevik
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

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  2. Bapat R. B. Resistance distance in graphs, Math. Student 68, 87-98, 1999.
  3. Bapat R. B. Resistance matrix of a weighted graph, MATCH Commun. Math. Comput. Chem. 50, 73-82, 2004.
  4. Bapat R. B., Gutman, I. and Xiao, W. A simple method for computing resistance distance, Z. Naturforsch. 58a, 494-498, 2003.
  5. 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.
  6. 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.
  7. Cao, D., Chvatal, V, Hoffman, A, J. and Vince, A. Variations on a theorem of Ryser, Lin. Algebra Appl. 260, 215-222, 1997.
  8. 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

Authors

A. Dilek Güngör Maden This is me

İvan Gutman This is me

A. Sinan Çevik This is me

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