Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 65, 2017 - Issue 5
Submit an article Journal homepage
393
Views
21
CrossRef citations to date
0
Altmetric
Articles

The Spectra of power graphs of certain finite groups

Z. MehranianDepartment of Mathematics, University of Qom, Qom, I.R. Iran.View further author information
,
A. GholamiDepartment of Mathematics, University of Qom, Qom, I.R. Iran.View further author information
&
A. R. AshrafiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I.R. Iran.Correspondence[email protected]
View further author information
Pages 1003-1010 | Received 29 Mar 2015, Accepted 02 Aug 2016, Published online: 16 Aug 2016

References

  • Kelarev AV, Quinn SJ. A combinatorial property and power graphs of groups, Vol. 12, In: Contributions to general algebra, Vienna, 1999. Klagenfurt: Heyn; 2000. p. 229–235.
  • Kelarev AV, Quinn SJ. A combinatorial property and power graphs of semigroups. Comment. Math. Univ. Carolin. 2004;45:1–7.
  • Kelarev AV, Quinn SJ. Directed graphs and combinatorial properties of semigroups. J. Algebra. 2002;251:16–26.
  • Kelarev AV, Quinn SJ, Smolíková R. Power graphs and semigroups of matrices. Bull. Aust. Math. Soc. 2001;63:341–344.
  • Abawajy J, Kelarev A, Chowdhury M. Power graphs: a survey. Electron. J. Graph Theory Appl. (EJGTA). 2013;1:125–147.
  • Chakrabarty I, Ghosh S, Sen MK. Undirected power graphs of semigroups. Semigroup Forum. 2009;78:410–426.
  • Cameron PJ, Ghosh S. The power graph of a finite group. Discrete Math. 2011;311:1220–1222.
  • Cameron PJ. The power graph of a finite group, II. J. Group Theory. 2010;13:779–783.
  • Mirzargar M, Ashrafi AR, Nadjafi-Arani MJ. On the power graph of a finite group. Filomat. 2012;26:1201–1208.
  • Pourgholi GR, Yousefi-Azari H, Ashrafi AR. The undirected power graph of a finite group. Bull. Malaysian Math. Sci. Soc. 2015;38:1517–1525.
  • Curtin B, Pourgholi GR. Edge-maximality of power graphs of finite cyclic groups. J. Algebraic Comb. 2014;40:313–330.
  • Rose JS. A course on group theory. New York (NY): Dover Publications Inc; 1994.
  • Cvetković D, Rowlinson P, Simić S. An introduction to the theory of graph Spectra. Cambridge: Cambridge University Press; 2010.
  • Chattopadhyaya S, Panigrahi P. On Laplacian spectrum of power graphs of finite cyclic and dihedral groups. Linear Multilinear Algebra. 2015;63:1345–1355.
  • Schwenk AJ. Computing the characteristic polynomial of a graph. In: Bary R, Harary F, editors. Graphs and combinatorics. Vol. 406, Lecture notes in mathematics; Berlin: Springer-Verlag; 1974. p. 153–172.
  • Sabidussi G. Graph derivatives. Math. Z. 1961;76:385–401.
  • Mehranian Z, Gholami A, Ashrafi AR. A note on the power graph of a finite group. Int. J. Group Theory. 2016;5:1–10.
  • Tamizh Chelvam T, Sattanathan M. Power graph of finite abelian groups. Algebra Discrete Math. 2013;16:33–41.

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.