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On the Spectral Parameters of Certain Cartesian Products of Graphs with P2
S. Sarah Surya,
Published in Springer
2021
Volume: 344
   
Pages: 365 - 373
Abstract
A structure descriptor that is largely studied in the context of spectral graph theory is the energy of a graph. It is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix of the graph. Spectral Graph Theory is the study of properties of graphs and the matrices associated with them such as its adjacency matrix or Laplacian matrix. It has enormous applications in diverse areas such as chemistry, coding theory, information theory, geographic studies, etc. In this paper, we have obtained the values of energy, spectral radius, second-largest eigenvalue, least eigenvalue, spread and separator of book graph, ladder graph and prism graph and supplement our results using the MATLAB programs. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About the journal
JournalData powered by TypesetSpringer Proceedings in Mathematics and Statistics
PublisherData powered by TypesetSpringer
ISSN21941009