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Linear and Multilinear Algebra Volume 62, 2014 - Issue 9
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Articles

Spectra of the neighbourhood corona of two graphs

Xiaogang LiuDepartment of Mathematics and Statistics, The University of Melbourne, Parkville, Australia.Correspondence[email protected]
&
Sanming ZhouDepartment of Mathematics and Statistics, The University of Melbourne, Parkville, Australia.
Pages 1205-1219 | Received 27 Oct 2012, Accepted 12 Jun 2013, Published online: 25 Aug 2013

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Nima Ghanbari & Saeid Alikhani. (2019) More on the total dominator chromatic number of a graph. Journal of Information and Optimization Sciences 40:1, pages 157-169.
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Michael Langberg & Dan Vilenchik. (2018) Constructing cospectral graphs via a new form of graph product. Linear and Multilinear Algebra 66:9, pages 1838-1852.
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Arpita Das & Pratima Panigrahi. (2017) Normalized Laplacian spectrum of some subdivision-coronas of two regular graphs. Linear and Multilinear Algebra 65:5, pages 962-972.
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Nima Ghanbari, Gerold Jäger & Tuomo Lehtilä. (2024) Super domination: Graph classes, products and enumeration. Discrete Applied Mathematics 349, pages 8-24.
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Daneshwari Patil & Harishchandra Ramane. (2024) On vertex-edge corona of graphs and its spectral polynomial. Malaya Journal of Matematik 12:02, pages 156-162.
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Bableen Kaur, Sandeep Kumar & Deepa Sinha. (2024) An Alternative Technique to Find the Spectrum and Laplacian Spectrum of a Cartesian Product of Signed Graphs. National Academy Science Letters.
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V. K. Najiya & A. V. Chithra. (2023) On the Aα-spectra of some corona graphs. Asian-European Journal of Mathematics.
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Xiaohong Li, Yongqin Zhang, Jianfeng Wang, Guang Li & Da Huang. (2023) On the spectra of wreath products of circulant graphs. Ricerche di Matematica.
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Jia Wei & Jing Wang. (2022) Spectra of Complemented Triangulation Graphs. Mathematics 10:17, pages 3168.
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Chinglensana Phanjoubam & Sainkupar Mn. Mawiong. 2022. Mathematics and Computing. Mathematics and Computing 205 215 .
Mainak Basunia, Iswar Mahato & M. Rajesh Kannan. (2021) On the $$A_{\alpha }$$-Spectra of Some Join Graphs. Bulletin of the Malaysian Mathematical Sciences Society 44:6, pages 4269-4297.
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Xiaomin Wang, Yuqing Hao & Qingyun Wang. (2020) On the controllability of Corona product network. Journal of the Franklin Institute 357:10, pages 6228-6240.
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Muhammad Ateeq Tahir & Xiao-Dong Zhang. (2019) Coronae Graphs and Their $$\alpha $$-Eigenvalues. Bulletin of the Malaysian Mathematical Sciences Society 43:4, pages 2911-2927.
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M. Gayathri & R. Rajkumar. (2019) Adjacency and Laplacian spectra of variants of neighborhood corona of graphs constrained by vertex subsets. Discrete Mathematics, Algorithms and Applications 11:06, pages 1950073.
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R. Rajkumar & M. Gayathri. (2019) Spectra of -merged subdivision graph of a graph . Indagationes Mathematicae 30:6, pages 1061-1076.
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Xiaogang Liu & Zuhe Zhang. (2017) Spectra of Subdivision-Vertex Join and Subdivision-Edge Join of Two Graphs. Bulletin of the Malaysian Mathematical Sciences Society 42:1, pages 15-31.
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Pengli Lu, Ke Gao & Yumo Wu. (2018) Signless Laplacian spectrum of a class of generalized corona and its application. Discrete Mathematics, Algorithms and Applications 10:05, pages 1850060.
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S. Barik, D. Kalita, S. Pati & G. Sahoo. (2018) Spectra of Graphs Resulting from Various Graph Operations and Products: a Survey. Special Matrices 6:1, pages 323-342.
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Shu-Yu Cui & Gui-Xian Tian. (2017) The spectra and the signless Laplacian spectra of graphs with pockets. Applied Mathematics and Computation 315, pages 363-371.
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Pengli Lu, Ke Gao & Yang Yang. (2017) Generalized Characteristic Polynomials of Join Graphs and Their Applications. Discrete Dynamics in Nature and Society 2017, pages 1-10.
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Sasmita Barik & Gopinath Sahoo. (2017) On the Laplacian spectra of some variants of corona. Linear Algebra and its Applications 512, pages 32-47.
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XIAOGANG LIU. (2016) SELECTED TOPICS IN SPECTRAL GRAPH THEORY. Bulletin of the Australian Mathematical Society 93:3, pages 511-512.
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A.R. Fiuj Laali, H. Haj Seyyed Javadi & Dariush Kiani. (2016) Spectra of generalized corona of graphs. Linear Algebra and its Applications 493, pages 411-425.
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Zuhe Zhang. (2013) Some physical and chemical indices of clique-inserted lattices. Journal of Statistical Mechanics: Theory and Experiment 2013:10, pages P10004.
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