Some graphs determined by their (signless) Laplacian spectra
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 1117-1134.

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Let Wn=K1Cn1 be the wheel graph on n vertices, and let S(n,c,k) be the graph on n vertices obtained by attaching n2c2k1 pendant edges together with k hanging paths of length two at vertex v0, where v0 is the unique common vertex of c triangles. In this paper we show that S(n,c,k) (c1, k1) and Wn are determined by their signless Laplacian spectra, respectively. Moreover, we also prove that S(n,c,k) and its complement graph are determined by their Laplacian spectra, respectively, for c0 and k1.
DOI : 10.1007/s10587-012-0067-9
Classification : 05C50, 15A18
Mots-clés : Laplacian spectrum; signless Laplacian spectrum; complement graph
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     title = {Some graphs determined by their (signless) {Laplacian} spectra},
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Liu, Muhuo. Some graphs determined by their (signless) Laplacian spectra. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 1117-1134. doi : 10.1007/s10587-012-0067-9. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0067-9/

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