Title:
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The fan graph is determined by its signless Laplacian spectrum (English) |
Author:
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Liu, Muhuo |
Author:
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Yuan, Yuan |
Author:
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Chandra Das, Kinkar |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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70 |
Issue:
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1 |
Year:
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2020 |
Pages:
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21-31 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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Given a graph $G$, if there is no nonisomorphic graph $H$ such that $G$ and $H$ have the same signless Laplacian spectra, then we say that $G$ is \hbox {$Q$-DS}. In this paper we show that every fan graph $F_n$ is \hbox {$Q$-DS}, where $F_{n}=K_{1}\vee P_{n-1}$ and $n\geq 3$. (English) |
Keyword:
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signless Laplacian spectrum |
Keyword:
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join graph |
Keyword:
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graph determined by its spectrum |
MSC:
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05C50 |
MSC:
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15A18 |
idZBL:
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07217120 |
idMR:
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MR4078345 |
DOI:
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10.21136/CMJ.2019.0159-18 |
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Date available:
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2020-03-10T10:13:17Z |
Last updated:
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2022-04-04 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/148041 |
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Reference:
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Reference:
|
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Reference:
|
[3] Das, K. Ch.: The Laplacian spectrum of a graph.Comput. Math. Appl. 48 (2004), 715-724. Zbl 1058.05048, MR 2105246, 10.1016/j.camwa.2004.05.005 |
Reference:
|
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Reference:
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Reference:
|
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Reference:
|
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Reference:
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Reference:
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[9] Liu, M., Liu, B.: Extremal Theory of Graph Spectrum.Mathematical Chemistry Monographs 22, University of Kragujevac and Faculty of Science Kragujevac, Kragujevac (2018). |
Reference:
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[10] Liu, X., Zhang, Y., Gui, X.: The multi-fan graphs are determined by their Laplacian spectra.Discrete Math. 308 (2008), 4267-4271. Zbl 1225.05172, MR 2427757, 10.1016/j.disc.2007.08.002 |
Reference:
|
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Reference:
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