Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 59, 2011 - Issue 6
Submit an article Journal homepage
222
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

A note on graphs whose signless Laplacian has three distinct eigenvalues

F. Ayoobi Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
,
G.R. Omidi Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, IranCorrespondence[email protected]
&
B. Tayfeh-Rezaie School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
Pages 701-706 | Received 01 Aug 2009, Accepted 27 Apr 2010, Published online: 31 Mar 2011

Citations (13)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Xueyi Huang & Huiqiu Lin. (2022) On graphs with three distinct signless Laplacian eigenvalues. Linear and Multilinear Algebra 70:8, pages 1451-1466.
Read now

Articles from other publishers (12)

Wanting Sun, Shuchao Li & Xuechao Li. (2023) COMPLETE CHARACTERIZATION OF THE BIDEGREED SPLIT GRAPHS WITH THREE OR FOUR DISTINCT Aα-EIGENVALUES. Rocky Mountain Journal of Mathematics 53:5.
Crossref
Fenglei Tian, Shu-Guang Guo & Dein Wong. (2022) On the multiplicity of the least signless Laplacian eigenvalue of a graph. Discrete Mathematics 345:9, pages 112940.
Crossref
Renata R. Del-Vecchio & Miriam Abdón. (2022) Seidel spectrum of threshold graphs. Computational and Applied Mathematics 41:4.
Crossref
B. R. Rakshith. (2021) Signless Laplacian spectral characterization of some disjoint union of graphs. Indian Journal of Pure and Applied Mathematics 53:1, pages 233-245.
Crossref
Fenglei Tian, Dein Wong & Sai Wang. (2020) Characterization of graphs with some normalized Laplacian eigenvalue of multiplicity n − 3. Linear Algebra and its Applications 606, pages 127-143.
Crossref
Shuchao Li & Wanting Sun. (2020) On split graphs with three or four distinct (normalized) Laplacian eigenvalues. Journal of Combinatorial Designs 28:11, pages 763-782.
Crossref
Xueyi Huang & Qiongxiang Huang. (2019) On Graphs with Three or Four Distinct Normalized Laplacian Eigenvalues. Algebra Colloquium 26:01, pages 65-82.
Crossref
Muhammad Ateeq Tahir & Xiao-Dong Zhang. (2018) Graphs with Three Distinct α-Eigenvalues. Acta Mathematica Vietnamica 43:4, pages 649-659.
Crossref
?? ?. (2016) Connected Graphs with Distinct Eigenvalues. Advances in Applied Mathematics 05:01, pages 59-62.
Crossref
Ebrahim Ghorbani. (2012) Graphs With Few Matching Roots. Graphs and Combinatorics 29:5, pages 1377-1389.
Crossref
W.H. Haemers & G.R. Omidi. (2011) Universal adjacency matrices with two eigenvalues. Linear Algebra and its Applications 435:10, pages 2520-2529.
Crossref
E.R. van Dam & G.R. Omidi. (2011) Graphs whose normalized Laplacian has three eigenvalues. Linear Algebra and its Applications 435:10, pages 2560-2569.
Crossref

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.