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  1. Indian Journal of Pure and Applied Mathematics
  2. Indian Journal of Pure and Applied Mathematics : Volume 46
  3. Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 5, October 2015
  4. The spectral characterization of wind-wheel graphs
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Indian Journal of Pure and Applied Mathematics : Volume 48
Indian Journal of Pure and Applied Mathematics : Volume 47
Indian Journal of Pure and Applied Mathematics : Volume 46
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 6, December 2015
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 5, October 2015
On some special types of Fontaine sheaves and their properties
The spectral characterization of wind-wheel graphs
Complete join hyperlattices
Numerical solution of initial-boundary system of nonlinear hyperbolic equations
An analysis of higher order terms for ion-acoustic waves by use of the modified Poincaré-Lighthill-Kuo method
On multiplicity of triangles
On Chevalley’s ℤ-form
The numerical factors of Δ$_{ n }$(f, g)
The t-Nagata ring of t-Schreier domains
On positive solutions of m-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales
Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 4, August 2015
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 3, June 2015
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 2, April 2015
Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 1, February 2015
Indian Journal of Pure and Applied Mathematics : Volume 45
Indian Journal of Pure and Applied Mathematics : Volume 44
Indian Journal of Pure and Applied Mathematics : Volume 43
Indian Journal of Pure and Applied Mathematics : Volume 42
Indian Journal of Pure and Applied Mathematics : Volume 41

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The spectral characterization of wind-wheel graphs

Content Provider Springer Nature Link
Author Wen, Fei Huang, Qiongxiang Huang, Xueyi Liu, Fenjin
Copyright Year 2015
Abstract Let G $_{ s,t }$ denote the wind-wheel graph on n vertices obtained by appending s triangle(s) to a pendant vertex of a path P $_{ t+1}$ with just a vertex in common. In this paper, we prove that all wind-wheel graphs are determined by their Laplacian spectra as well as signless Laplacian spectra. As G $_{ s,t }$ is the well-known friendship graph if t = 0, our results include that the friendship graph is determined by its Laplacian spectrum as well as signless Laplacian spectrum, which provides of a new proofs of the results in [15].
Starting Page 613
Ending Page 631
Page Count 19
File Format PDF
ISSN 00195588
Journal Indian Journal of Pure and Applied Mathematics
Volume Number 46
Issue Number 5
e-ISSN 09757465
Language English
Publisher Indian National Science Academy
Publisher Date 2015-07-22
Publisher Place New Delhi
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Graph adjacency spectrum Laplacian spectrum signless Laplacian spectrum cospectral graphs Mathematics Applications of Mathematics Numerical Analysis
Content Type Text
Resource Type Article
Subject Applied Mathematics
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