A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph

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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Veröffentlicht in:Journal of chemistry 2020-02, Vol.2020 (2020), p.1-4
Hauptverfasser: Zhou, Zheng-Da, Gong, Shi-Cai
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Eigenvalues
Euclidean space
Graphs
Linear algebra
Matrices (mathematics)
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Zusammenfassung: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.
ISSN:2090-9063
2090-9071
DOI:10.1155/2020/6210758