79
Views
0
CrossRef citations to date
0
Altmetric
Articles

Resolvent energy and pseudospectrum energy of fullerenes

, &
Pages 512-515 | Received 08 Jun 2021, Accepted 24 Jul 2021, Published online: 24 Aug 2021

References

  • Gutman, I. The Energy of a Graph. Ber. Math.-Statist. Sekt. Forschungsz. Graz 1978, 103, 1–22.
  • Cvetkovich, D.; Doob, M.; Sachs, H. Spectra of Graphs – Theory and Application; New York: Academic Press, 1980.
  • Gutman, I.; Furtula, B.; Zogich, E.; Glogic, E. Resolvent of Energy of Graphs. MATCH Commun. Math. Comput. Chem 2016, 75, 279–290.
  • Antonevich, A. B.; Shukur, A. A. The Estimations of the Resolvent of the Bounded Operators (in Russian); Chişinău: LAP Lambert Academic Publishing, 2017.
  • Antonevich, A. B.; Shukur, A. A. On Powers of Operator Generated by Rotation. J. Anal. Appl. 2018, 16, 57–67.
  • Nevanlinna, O. Resolvent Conditions and Powers of Operators. Stud. Math. 2001, 145, 113–134. DOI: https://doi.org/10.4064/sm145-2-2.
  • Shukur, A. A.; Shelash, H. B. Pseudospectrum Energy of Graphs. Iran. J. Math. Chem. 2020, 11, 83–93.
  • Trefethen, L. N.; Embree, M. Spectra and Pseudospectra; Princeton, NJ: Princeton University Press, 2005.
  • Fowler, P. W.; Manolopoulos, D. E. An Atlas of Fullerenes; Oxford: Oxford University Press, 1995.
  • Koorepazan–Moftakhar, F.; Ashrafi, A. R.; Ori, O.; Putz, M. V. Sphericality of Some Classes of Fullerenes Measured by Topology. In Fullerenes: Chemistry, Natural Sources and Technological Applications; Ellis, S. B., Ed.; New York: Nova Science Publishers, Inc., 2014; pp. 285–304.
  • Gutman, I.; Zare Firoozabadi, S.; de la Pe na, J. A.; Rada, J. On the Energy of Regular Graphs. MATCH Commun. Math. Comput. Chem. 2007, 57, 435–442.
  • Graovac, A.; Ori, O.; Faghani, M.; Ashrafi, A. R. Distance Property of Fullerenes. Iran. J. Math. Chem. 2011, 2, 99–107.
  • Faghani, M.; Katona, G. Y.; Ashrafi, A. R.; Koorepazan-Moftakhar, F. A Lower Bound for Graph Energy of Fullerenes. In Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon Materials: Chemistry and Physics 9; Ashrafi, A. R., Diudea, M. V., Eds., Springer International Publishing Switzerland, 2016; pp. 463–471.
  • Katona, G. Y.; Faghani, M.; Ashrafi, A. R. Centrosymmetric Graphs and Lower Bound for Graph Energy of Fullerene. Discuss. Math. Graph Theory 2014, 34, 751–768. DOI: https://doi.org/10.7151/dmgt.1761.
  • Zhou, B.; Gutman, I.; de la Pena, J. A.; Rada, J.; Mendozad, L. On Spectral Moments and Energy of Graphs. MATCH Commun. Math. Comput. Chem. 2007, 57, 183–191.
  • Cantoni, A.; Butler, P. Eigenvalues and Eigenvectors of Symmetric Centrosymmetric Matrices. Linear Algebra Appl. 1976, 13, 275–288. DOI: https://doi.org/10.1016/0024-3795(76)90101-4.
  • Wright, T. G. EigTool: A Graphical Tool for Nonsymmetric Eigenproblems. http://www.comlab.ox.ac.uk/pseudospectra/eigtool., 2002.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.