Cutpoints, lobes and the spectra of graphs
Grone, Robert, Merris, Russell (1988)
Portugaliae mathematica
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Grone, Robert, Merris, Russell (1988)
Portugaliae mathematica
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Miroslav Fiedler (1973)
Czechoslovak Mathematical Journal
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Miroslav Fiedler (1975)
Czechoslovak Mathematical Journal
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Antonín Vrba (1986)
Czechoslovak Mathematical Journal
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Ji-Ming Guo, Lin Feng, Jiong-Ming Zhang (2010)
Czechoslovak Mathematical Journal
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In this paper we investigate the effect on the multiplicity of Laplacian eigenvalues of two disjoint connected graphs when adding an edge between them. As an application of the result, the multiplicity of 1 as a Laplacian eigenvalue of trees is also considered.
Damir Vukičević, Ivan Gutman (2004)
Kragujevac Journal of Mathematics
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