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Original Articles

Minimizing the Laplacian spectral radius of trees with given matching number

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Pages 199-207 | Received 02 Oct 2005, Accepted 18 Apr 2006, Published online: 23 Nov 2006

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Read on this site (3)

Mingqing Zhai, Jie Xue & Ruifang Liu. (2022) An extremal problem on Q-spectral radii of graphs with given size and matching number. Linear and Multilinear Algebra 70:20, pages 5334-5345.
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Yun Shen, Lihua You, Minjie Zhang & Shuchao Li. (2017) On a conjecture for the signless Laplacian spectral radius of cacti with given matching number. Linear and Multilinear Algebra 65:3, pages 457-474.
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Wei Li & An Chang. (2014) The minimal Laplacian spectral radius of trees with given matching number. Linear and Multilinear Algebra 62:2, pages 218-228.
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Articles from other publishers (24)

Lu Miao, Ruifang Liu & Jie Xue. (2023) Maxima of the -index of non-bipartite graphs: Forbidden short odd cycles . Discrete Applied Mathematics 340, pages 104-114.
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Wenwen Chen, Bing Wang & Mingqing Zhai. (2022) Signless Laplacian spectral radius of graphs without short cycles or long cycles. Linear Algebra and its Applications 645, pages 123-136.
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Shaohui WANG, Chunxiang WANG & Jia-bao LİU. (2021) Sharp upper bounds of $A_\alpha$-spectral radius of cacti with given pendant vertices. Hacettepe Journal of Mathematics and Statistics 50:1, pages 33-40.
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Peng Xiao & Ligong Wang. (2020) The effect on the (signless Laplacian) spectral radii of uniform hypergraphs by subdividing an edge. Discrete Applied Mathematics 283, pages 444-455.
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Chunxiang Wang, Shaohui Wang, Jia-Bao Liu & Bing Wei. (2020) On the Aα-Spectral Radii of Cactus Graphs. Mathematics 8:6, pages 869.
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Chunxiang Wang & Shaohui Wang. (2019) The Aα-Spectral Radii of Graphs with Given Connectivity. Mathematics 7:1, pages 44.
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Murad-ul-Islam Khan & Yi-Zheng Fan. (2015) On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs. Linear Algebra and its Applications 480, pages 93-106.
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Gui-dong Yu, Gai-xiang Cai & Yi-zheng Fan. (2014) Some notes on the spectral perturbations of the signless Laplacian of a graph. Applied Mathematics-A Journal of Chinese Universities 29:2, pages 241-248.
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XUE DU & LINGSHENG SHI. (2013) GRAPHS WITH SMALL INDEPENDENCE NUMBER MINIMIZING THE SPECTRAL RADIUS. Discrete Mathematics, Algorithms and Applications 05:03, pages 1350017.
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Shuchao Li & Minjie Zhang. (2012) On the signless Laplacian index of cacti with a given number of pendant vertices. Linear Algebra and its Applications 436:12, pages 4400-4411.
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Shuchao Li & Shujing Wang. (2012) The least eigenvalue of the signless Laplacian of the complements of trees. Linear Algebra and its Applications 436:7, pages 2398-2405.
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Francesco Belardo, Enzo M. Li Marzi, Slobodan K. Simi?Jianfeng Wang. (2011) Graphs whose signless Laplacian spectral radius does not exceed the Hoffman limit value. Linear Algebra and its Applications 435:11, pages 2913-2920.
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Ke Li, Ligong Wang & Guopeng Zhao. (2011) The signless Laplacian spectral radius of tricyclic graphs and trees with k pendant vertices. Linear Algebra and its Applications 435:4, pages 811-822.
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Xi-Ying Yuan, Yue Liu & Miaomiao Han. (2011) The Laplacian spectral radius of trees and maximum vertex degree. Discrete Mathematics 311:8-9, pages 761-768.
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Yufei Huang, Bolian Liu & Yingluan Liu. (2011) The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences. Discrete Mathematics 311:6, pages 504-511.
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Lihua Feng, Guihai Yu & Aleksandar Ili?. (2010) The Laplacian spectral radius for unicyclic graphs with given independence number. Linear Algebra and its Applications 433:5, pages 934-944.
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Dragoš Cvetković & Slobodan K. Simić. (2010) Towards a spectral theory of graphs based on the signless Laplacian, II. Linear Algebra and its Applications 432:9, pages 2257-2272.
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Lihua Feng. (2010) The Signless Laplacian Spectral Radius for Bicyclic Graphs with κ Pendant Vertices. Kyungpook mathematical journal 50:1, pages 109-116.
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Dragos Cvetkovic & Slobodan SimicK.K.. (2010) Towards a spectral theory of graphs based on the signless Laplacian, III. Applicable Analysis and Discrete Mathematics 4:1, pages 156-166.
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Yi-Zheng Fan & Dan Yang. (2009) The Signless Laplacian Spectral Radius of Graphs with Given Number of Pendant Vertices. Graphs and Combinatorics 25:3, pages 291-298.
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Jianfeng Wang, Qiongxiang Huang, Francesco Belardo & Enzo M. Li Marzi. (2009) On graphs whose signless Laplacian index does not exceed 4.5. Linear Algebra and its Applications 431:1-2, pages 162-178.
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Xiao-Dong Zhang. (2009) The signless Laplacian spectral radius of graphs with given degree sequences. Discrete Applied Mathematics 157:13, pages 2928-2937.
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Lihua Feng & Guihai Yu. (2009) The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints. Kyungpook mathematical journal 49:1, pages 123-131.
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Dragos Cvetkovic & Slobodan SimicK.K.. (2009) Towards a spectral theory of graphs based on the signless Laplacian, I. Publications de l'Institut Mathematique Publications de l'Institut Math?matique (Belgrade) 85:99, pages 19-33.
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