Distance Spectra of Some Double Join Operations of Graphs
In literature, several types of join operations of two graphs based on subdivision graph, Q-graph, R-graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on H1,H2-merged subdivision graph. We compu...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/2017748 |
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| author | B. J. Manjunatha B. R. Rakshith K. N. Prakasha N. V. Sayinath Udupa |
| author_facet | B. J. Manjunatha B. R. Rakshith K. N. Prakasha N. V. Sayinath Udupa |
| author_sort | B. J. Manjunatha |
| collection | DOAJ |
| description | In literature, several types of join operations of two graphs based on subdivision graph, Q-graph, R-graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on H1,H2-merged subdivision graph. We compute the spectrum of a special block matrix and then use it to describe the distance spectra of some double join operations of graphs. At last, we give several families of distance equienergetic graphs of diameter 3. |
| format | Article |
| id | doaj-art-d6c660bd17fe420797c107055c2ce7d5 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d6c660bd17fe420797c107055c2ce7d52025-02-03T06:15:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/2017748Distance Spectra of Some Double Join Operations of GraphsB. J. Manjunatha0B. R. Rakshith1K. N. Prakasha2N. V. Sayinath Udupa3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn literature, several types of join operations of two graphs based on subdivision graph, Q-graph, R-graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on H1,H2-merged subdivision graph. We compute the spectrum of a special block matrix and then use it to describe the distance spectra of some double join operations of graphs. At last, we give several families of distance equienergetic graphs of diameter 3.http://dx.doi.org/10.1155/2024/2017748 |
| spellingShingle | B. J. Manjunatha B. R. Rakshith K. N. Prakasha N. V. Sayinath Udupa Distance Spectra of Some Double Join Operations of Graphs International Journal of Mathematics and Mathematical Sciences |
| title | Distance Spectra of Some Double Join Operations of Graphs |
| title_full | Distance Spectra of Some Double Join Operations of Graphs |
| title_fullStr | Distance Spectra of Some Double Join Operations of Graphs |
| title_full_unstemmed | Distance Spectra of Some Double Join Operations of Graphs |
| title_short | Distance Spectra of Some Double Join Operations of Graphs |
| title_sort | distance spectra of some double join operations of graphs |
| url | http://dx.doi.org/10.1155/2024/2017748 |
| work_keys_str_mv | AT bjmanjunatha distancespectraofsomedoublejoinoperationsofgraphs AT brrakshith distancespectraofsomedoublejoinoperationsofgraphs AT knprakasha distancespectraofsomedoublejoinoperationsofgraphs AT nvsayinathudupa distancespectraofsomedoublejoinoperationsofgraphs |