A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph
In this paper, we give a geometric interpretation of the Laplacian matrix of a connected nonsingular mixed graph which generalizes the results of M. Fiedler (M. Fiedler, Geometry of the Laplacian, Linear Algebra Appl., 2005, 403: 409–413). In addition, the relations of geometric properties between a...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2020/6210758 |
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| author | Zheng-Da Zhou Shi-Cai Gong |
| author_facet | Zheng-Da Zhou Shi-Cai Gong |
| author_sort | Zheng-Da Zhou |
| collection | DOAJ |
| description | In this paper, we give a geometric interpretation of the Laplacian matrix of a connected nonsingular mixed graph which generalizes the results of M. Fiedler (M. Fiedler, Geometry of the Laplacian, Linear Algebra Appl., 2005, 403: 409–413). In addition, the relations of geometric properties between a connected (singular or nonsingular) mixed graph, and all its resigned graphs will be characterized. |
| format | Article |
| id | doaj-art-4197797eab3a4d3d99d5a7abae322d2b |
| institution | Kabale University |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-4197797eab3a4d3d99d5a7abae322d2b2025-02-03T01:25:50ZengWileyJournal of Chemistry2090-90632090-90712020-01-01202010.1155/2020/62107586210758A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed GraphZheng-Da Zhou0Shi-Cai Gong1School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaSchool of Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaIn this paper, we give a geometric interpretation of the Laplacian matrix of a connected nonsingular mixed graph which generalizes the results of M. Fiedler (M. Fiedler, Geometry of the Laplacian, Linear Algebra Appl., 2005, 403: 409–413). In addition, the relations of geometric properties between a connected (singular or nonsingular) mixed graph, and all its resigned graphs will be characterized.http://dx.doi.org/10.1155/2020/6210758 |
| spellingShingle | Zheng-Da Zhou Shi-Cai Gong A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph Journal of Chemistry |
| title | A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph |
| title_full | A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph |
| title_fullStr | A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph |
| title_full_unstemmed | A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph |
| title_short | A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph |
| title_sort | geometric property of the laplacian matrix of a connected nonsingular mixed graph |
| url | http://dx.doi.org/10.1155/2020/6210758 |
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