| 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
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| 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). |
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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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