On Laplacian Equienergetic Signed Graphs
The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal. In this paper, we present several infinite families of...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5029807 |
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| _version_ | 1832561190166855680 |
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| author | Qingyun Tao Lixin Tao |
| author_facet | Qingyun Tao Lixin Tao |
| author_sort | Qingyun Tao |
| collection | DOAJ |
| description | The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal. In this paper, we present several infinite families of Laplacian equienergetic signed graphs. |
| format | Article |
| id | doaj-art-f44eed43de1e44009d35a7ca78f517c3 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f44eed43de1e44009d35a7ca78f517c32025-02-03T01:25:49ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5029807On Laplacian Equienergetic Signed GraphsQingyun Tao0Lixin Tao1College of Mathematics and PhysicsSchool of Computer ScienceThe Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal. In this paper, we present several infinite families of Laplacian equienergetic signed graphs.http://dx.doi.org/10.1155/2021/5029807 |
| spellingShingle | Qingyun Tao Lixin Tao On Laplacian Equienergetic Signed Graphs Journal of Mathematics |
| title | On Laplacian Equienergetic Signed Graphs |
| title_full | On Laplacian Equienergetic Signed Graphs |
| title_fullStr | On Laplacian Equienergetic Signed Graphs |
| title_full_unstemmed | On Laplacian Equienergetic Signed Graphs |
| title_short | On Laplacian Equienergetic Signed Graphs |
| title_sort | on laplacian equienergetic signed graphs |
| url | http://dx.doi.org/10.1155/2021/5029807 |
| work_keys_str_mv | AT qingyuntao onlaplacianequienergeticsignedgraphs AT lixintao onlaplacianequienergeticsignedgraphs |