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Linear and Multilinear Algebra Volume 59, 2011 - Issue 2
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Original Articles

Permanental bounds for the signless Laplacian matrix of bipartite graphs and unicyclic graphs

Shuchao Li Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.R. ChinaCorrespondence[email protected]
&
Li Zhang Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.R. China
Pages 145-158 | Received 04 Feb 2009, Accepted 14 Aug 2009, Published online: 18 Feb 2011

Citations (12)

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Read on this site (2)

Aqib Khan, Pratima Panigrahi & Swarup Kumar Panda. (2023) A study on determination of some graphs by Laplacian and signless Laplacian permanental polynomials. AKCE International Journal of Graphs and Combinatorics 20:1, pages 79-90.
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Xiaogang Liu & Tingzeng Wu. (2022) Graphs determined by the (signless) Laplacian permanental polynomials. Linear and Multilinear Algebra 70:18, pages 3599-3615.
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Articles from other publishers (10)

Tingzeng Wu, Tian Zhou & Huazhong Lü. (2022) Further results on the star degree of graphs. Applied Mathematics and Computation 425, pages 127076.
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Tingzeng Wu & Tian Zhou. (2021) The Characterizing Properties of (Signless) Laplacian Permanental Polynomials of Almost Complete Graphs. Journal of Mathematics 2021, pages 1-7.
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Eugene Curtin, Junu Lee, Andrew Lu & Sophia Sun. (2019) A modified Grassmann algebra approach to theorems on permanents and determinants. Linear Algebra and its Applications 581, pages 20-35.
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Xiaogang Liu & Tingzeng Wu. (2019) On the Normalized Laplacian Permanental Polynomial of a Graph. Bulletin of the Iranian Mathematical Society 45:5, pages 1303-1321.
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Shunyi Liu. (2019) On the (Signless) Laplacian Permanental Polynomials of Graphs. Graphs and Combinatorics 35:3, pages 787-803.
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Shuchao Li & Wei Wei. (2018) Extremal octagonal chains with respect to the coefficients sum of the permanental polynomial. Applied Mathematics and Computation 328, pages 45-57.
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Xiaogang Liu & Tingzeng Wu. (2017) Computing the permanental polynomials of graphs. Applied Mathematics and Computation 304, pages 103-113.
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Dragoš Cvetković, Peter Rowlinson & Slobodan Simić. (2015) Graphs with least eigenvalue −2: Ten years on. Linear Algebra and its Applications 484, pages 504-539.
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Xianya Geng, Shuna Hu & Shuchao Li. (2014) Permanental Bounds of the Laplacian Matrix of Trees with Given Domination Number. Graphs and Combinatorics 31:5, pages 1423-1436.
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Shuchao Li & Li Zhang. (2011) Permanental Bounds for the Signless Laplacian Matrix of a Unicyclic Graph with Diameter d. Graphs and Combinatorics 28:4, pages 531-546.
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