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On Spectra of Corona Graphs
Rohan Sharma, Bibhas Adhikari,
Published in SPRINGER-VERLAG BERLIN
2015
Volume: 8959
   
Pages: 126 - 137
Abstract
Product graphs have been gainfully used in literature to generate mathematical models of complex networks which inherit properties of real networks. Realizing the duplication phenomena imbibed in the definition of corona product of two graphs, we define corona graphs. Given a small simple connected graph which we call basic graph, corona graphs are defined by taking corona product of the basic graph iteratively. We calculate the possibility of having a node of degree k in any corona graph which lead to obtain degree distribution of corona graphs. We determine explicit formulae of eigenvalues, Laplacian eigenvalues and signless Laplacian eigenvalues of corona graphs when the basic graph is regular. Computable expressions of eigenvalues and signless Laplacian eigenvalues are also obtained when the basic graph is a star graph.
About the journal
PublisherData powered by TypesetSPRINGER-VERLAG BERLIN
ISSN0302-9743