Some graphs determined by their (signless) Laplacian spectra
نویسندگان
چکیده
منابع مشابه
Graphs determined by their (signless) Laplacian spectra
Let S(n, c) = K1∨(cK2∪(n−2c−1)K1), where n ≥ 2c+1 and c ≥ 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.
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Let Wn = K1 ∨ Cn−1 be the wheel graph on n vertices, and let S(n, c, k) be the graph on n vertices obtained by attaching n− 2c− 2k − 1 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) (c > 1, k > 1) and Wn are determined by their signless Laplacian spectra, respectively. Moreover, w...
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Let S(n, c) = K1∨(cK2∪(n−2c−1)K1), where n ≥ 2c+1 and c ≥ 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.
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The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph. Let C and K w denote the Clebsch graph and a complete graph on w vertices, respectively. In this paper, we show that the multicone graphs K w ▽C are determined by their signless ...
متن کاملWhich wheel graphs are determined by their Laplacian spectra?
Thewheel graph, denoted byWn+1, is the graph obtained from the circuit Cn with n vertices by adding a new vertex and joining it to every vertex of Cn. In this paper, the wheel graph Wn+1, except for W7, is proved to be determined by its Laplacian spectrum, and a graph cospectral with the wheel graphW7 is given. © 2009 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2012
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-012-0067-9