Liu, Muhuo; Liu, Bolian; Wei, Fuyi Graphs determined by their (signless) Laplacian spectra. (English) Zbl 1227.05185 Electron. J. Linear Algebra 22, 112-124 (2011). Summary: Let \(S(n, c)= K_1\vee (cK_2\cup(n- 2c- 1)K_1)\), where \(n\geq 2c+ 1\) and \(c\geq 0\). In this paper, \(S(n, c)\) and its complement are shown to be determined by their Laplacian spectra, respectively. Moreover, we also prove that \(S(n, c)\) and its complement are determined by their signless Laplacian spectra, respectively. Cited in 11 Documents MSC: 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) 15A18 Eigenvalues, singular values, and eigenvectors 15B36 Matrices of integers Keywords:Laplacian spectrum; signless Laplacian spectrum; complement graph PDFBibTeX XMLCite \textit{M. Liu} et al., Electron. J. Linear Algebra 22, 112--124 (2011; Zbl 1227.05185) Full Text: EuDML EMIS