Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (4): 22-24.

• Comprehensive Studies • Previous Articles     Next Articles

The Laplacian Estrada Index of Iterated Line Graphs of Regular Graphs

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2009-12-01 Published:2009-12-01

HTML

PDF (PC)

2043

Abstract: According to the definition of the Laplacian Estrada index and the properties of iterated line graphs of regular graphs,it deduces expressions for the Laplacian Estrada index of iterated line graphs of regular graphs.

Key words: line graph； regular graph； the Laplacian Estrada index；

[1] Mrris R.A survey graph Laplacians. Linear and Multilinear Algebra . 1995

[2] Cvetkvic D,Doob M,Sachs H.Spectra of Graph-Theory and Application. . 1995

[3] Buckley F.Iterated line graphs. Congressus Numerantium . 1981

[4] Buckley F.The size of iterated line graphs. Graph Theory Notes New York . 1993

[5] Sachs H,Uber Teiler.Faktoren und charakteristische Polynome von Graphen. Teil H Wiss Z TH Ilmenau . 1967

[6] Cvetkovic D,Doob M,Sachs H.Spectra of Graph, Theory and Application. . 1980

[7] Grone R,Merris R.The Laplacian spectrum of a graphⅡ. SIAM Journal on Discrete Mathematics . 1994

[8] Grone,R.,Merris,Sunder,V.S.The Laplacian Spectrum of a Graph. SIAM Journal on Matrix Analysis and Applications . 1990

[9] Merris R.Laplacian matrices of graphs. A survey, Linear Algebra Appl . 1994

[10] Li Jianxi,Wai Chee Shiu,Chang An.On the laplacianestrada index of a graph. Appl.Anal.Discrete Math . 2009
No related articles found!
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech