DocumentCode
2303576
Title
Spectrum of Sierpiński triangles using MATLAB
Author
Rajan, Bharati ; Rajasingh, Indra ; Stephen, Sudeep ; Grigorious, Cyriac
Author_Institution
Dept. of Math., Loyola Coll., Chennai, India
fYear
2012
fDate
16-18 May 2012
Firstpage
400
Lastpage
403
Abstract
The set of eigenvalues of a graph G together with their multiplicities is called the spectrum of G. The knowledge of spectrum can be used to obtain various topological properties of graphs like connectedness, toughness and many more. In this paper we use MATLAB to completely describe the spectrum of Sierpiński graphs and Sierpiński triangles, thus adding to the classes of graphs whose spectrum is known.
Keywords
eigenvalues and eigenfunctions; graph theory; set theory; MATLAB; Sierpiński graph spectrum; Sierpiński triangle; eigenvalue set; topological property; Application software; Eigenvalues and eigenfunctions; Graph theory; Labeling; Laplace equations; Symmetric matrices; Tin; sierpiński triangle Sn; spectrum;
fLanguage
English
Publisher
ieee
Conference_Titel
Digital Information and Communication Technology and it's Applications (DICTAP), 2012 Second International Conference on
Conference_Location
Bangkok
Print_ISBN
978-1-4673-0733-8
Type
conf
DOI
10.1109/DICTAP.2012.6215425
Filename
6215425
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