Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 65, 2017 - Issue 5
Submit an article Journal homepage
281
Views
6
CrossRef citations to date
0
Altmetric
Articles

On the second largest distance eigenvalue of a graph

Ruifang LiuSchool of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China.Correspondence[email protected]
View further author information
,
Jie XueSchool of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China.View further author information
&
Litao GuoSchool of Applied Mathematics, Xiamen University of Technology, Xiamen, China.View further author information
Pages 1011-1021 | Received 08 Jul 2015, Accepted 02 Aug 2016, Published online: 18 Aug 2016

References

  • Van Dam ER, Haemers WH. Which graphs are determined by their spectrum? Linear Algebra Appl. 2003;373:241–272.
  • Van Dam ER, Haemers WH, Koolen JH. Cospectral graphs and the generalized adjacency matrix. Linear Algebra Appl. 2007;423:33–41.
  • Van Dam ER, Haemers WH. Developments on spectral characterizations of graphs. Discrete Math. 2009;309:576–586.
  • Lin HQ, Hong Y, Wang JF, et al. On the distance spectrum of graphs. Linear Algebra Appl. 2013;439:1662–1669.
  • Jin YL, Zhang XD. Complete multipartite graphs are determined by their distance spectra. Linear Algebra Appl. 2014;448:285–291.
  • Lin HQ, Zhai MQ, Gong SC. On graphs with at least three distance eigenvalues less than 1. Linear Algebra Appl. 2014;458:548–558.
  • Lin HQ. On the least distance eigenvalue and its applications on the distance spread. Discrete Math. 2015;338:868–874.
  • Li D, Meng JX. The graphs with the least distance eigenvalue at least 1+17 2. Linear Algebra Appl. 2016;493:358–380.
  • Xing RD, Zhou B. On the second largest distance eigenvalue. Linear Multilinear Algebra. 2016;64:1887–1898.
  • Cvetković DM, Doob M, Sachs H. Spectra of graphs. 3rd ed. Heidelberg-Leipzig: Johann Abrosius Barth Verlag; 1995.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.