On the Normalized Laplacian Spectra of some Double Join Operations of Graphs
Received:February 17, 2022  Revised:October 04, 2022
Key Words: normalized Laplacian matrix   normalized Laplacian spectrum   double join operations   regular graph  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11961040) and the Natural Science Foundation of Gansu Province (Grant No.20JR5RA418).
Author NameAffiliation
Weizhong WANG Department of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
Bin WEI Department of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
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Abstract:
      This paper is concerned with the normalized Laplacian spectra of four variants of double join operations based on subdivision graph, $Q$-graph, $R$-graph and total graph. The results here generalize some well known results about some join operations of graphs.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.02.001
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