Bounds for the Least Laplacian Eigenvalue of a Signed Graph
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2004/12/21
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Indian UGC (journal)
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Refrences11
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Citations29
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Yao Ping Hou
Cite
Hou, Yao Ping. “Bounds for the Least Laplacian Eigenvalue of a Signed Graph”. Acta Mathematica Sinica, English Series, vol. 21, no. 4, 2004, pp. 955-60, https://doi.org/10.1007/s10114-004-0437-9.
Hou, Y. P. (2004). Bounds for the Least Laplacian Eigenvalue of a Signed Graph. Acta Mathematica Sinica, English Series, 21(4), 955-960. https://doi.org/10.1007/s10114-004-0437-9
Hou, Yao Ping. “Bounds for the Least Laplacian Eigenvalue of a Signed Graph”. Acta Mathematica Sinica, English Series 21, no. 4 (2004): 955-60. https://doi.org/10.1007/s10114-004-0437-9.
Hou YP. Bounds for the Least Laplacian Eigenvalue of a Signed Graph. Acta Mathematica Sinica, English Series. 2004;21(4):955-60.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On the Laplacian Eigenvalues of Signed Graphs | Linear and Multilinear Algebra |
| 78 | 2003 |
| Laplacian matrices of graphs: a survey | Linear Algebra and its Applications |
| 834 | 1994 |
| Signed Graphs, Root Lattices, and Coxeter Groups | Journal of Algebra |
| 35 | 1994 |
A characterization of the smallest eigenvalue of a graph | Journal of Graph Theory |
| 93 | 1994 |
| 10.1016/0166-218X(82)90033-6 | Discrete Applied Mathematics |
| 1982 |
Refrences Analysis
The category
Science: Mathematics 3
is the most frequently represented among the references in this article. It primarily includes studies from Czechoslovak Mathematical Journal and Linear Algebra and its Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The determinant of the Laplacian matrix of a quaternion unit gain graph | Discrete Mathematics |
| 2024 | |
| Spreading and Structural Balance on Signed Networks | SIAM Journal on Applied Dynamical Systems |
| 2024 | |
Analyzing and visualizing polarization and balance with signed networks: the U.S. Congress case study | Journal of Complex Networks |
| 2023 | |
| Spectra of quaternion unit gain graphs | Linear Algebra and its Applications |
| 6 | 2022 |
Corona product of signed graphs and its application to modeling signed networks | Discrete Mathematics, Algorithms and Applications |
| 2022 |
Citations Analysis
The category
Science: Mathematics 24
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Non–bipartite Graphs with Third Largest Laplacian Eigenvalue Less Than Three and was published in 2006. The most recent citation comes from a 2024 study titled The determinant of the Laplacian matrix of a quaternion unit gain graph. This article reached its peak citation in 2016, with 5 citations. It has been cited in 16 different journals, 12% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.