226
Views
2
CrossRef citations to date
0
Altmetric
Research Article

On a conjecture related to the smallest signless Laplacian eigenvalue of graphs

Pages 4425-4431 | Received 19 Aug 2020, Accepted 20 Jan 2021, Published online: 01 Feb 2021

References

  • Cvetković DM, Doob M, Sachs H. Spectra of graphs. Theory and application. New York: Academic Press, Inc.; 1980.
  • Cvetković D, Rowlinson P, Simić S. An introduction to the theory of graph spectra. Cambridge: Cambridge University Press; 2010. (London Mathematical Society Student Texts; 75).
  • De Lima L, Nikiforov V, Oliveira C. The clique number and the smallest Q-eigenvalue of graphs. Discrete Math. 2016;339:1744–1752.
  • De Lima LS, Oliveira CS, De Abreu NMM, et al. The smallest eigenvalue of the signless Laplacian. Linear Algebra Appl. 2011;435:2570–2584.
  • Oboudi MR. A relation between the signless Laplacian spectral radius of complete multipartite graphs and majorization. Linear Algebra Appl. 2019;565:225–238.
  • Oboudi MR. Distance spectral radius of complete multipartite graphs and majorization. Linear Algebra Appl. 2019;583:134–145.
  • Yu G, Wu Y, Shu J. Signless Laplacian spectral radii of graphs with given chromatic number. Linear Algebra Appl. 2011;435:1813–1822.
  • Cvetković D, Rowlinson P, Simić S. Signless Laplacians of finite graphs. Linear Algebra Appl. 2007;423:155–171.
  • He CX, Pan H. The smallest signless Laplacian eigenvalue of graphs under perturbation. Electron J Linear Algebra. 2012;23:473–482.

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.