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Linear and Multilinear Algebra Volume 59, 2011 - Issue 7
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Original Articles

Connectivity and minimal distance spectral radius of graphs

Xiaoling Zhang Department of Combinatorics and Optimisation, University of Waterloo, Waterloo, ON, N2L 3G1, Canada; School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P.R. ChinaCorrespondence[email protected]
&
Chris Godsil Department of Combinatorics and Optimisation, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Pages 745-754 | Received 15 Dec 2009, Accepted 04 Jun 2010, Published online: 14 Apr 2011

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Weige Xi, Wasin So & Ligong Wang. (2021) On the distance spectral radius of digraphs with given diameter. Linear and Multilinear Algebra 69:14, pages 2547-2557.
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Huiqiu Lin, Jie Xue & Jinlong Shu. (2021) On the Dα-spectra of graphs. Linear and Multilinear Algebra 69:6, pages 997-1019.
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Huiqiu Lin & Xiwen Lu. (2015) Bounds on the distance signless Laplacian spectral radius in terms of clique number. Linear and Multilinear Algebra 63:9, pages 1750-1759.
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Zhibin Du, Aleksandar Ilić & Lihua Feng. (2013) Further results on the distance spectral radius of graphs. Linear and Multilinear Algebra 61:9, pages 1287-1301.
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Milan Nath & Somnath Paul. (2013) On the distance spectral radius of trees. Linear and Multilinear Algebra 61:7, pages 847-855.
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Articles from other publishers (19)

Aysel Erey. (2021) Maximal distance spectral radius of 4-chromatic planar graphs. Linear Algebra and its Applications 618, pages 183-202.
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Haiyan Guo & Bo Zhou. (2020) On the distance α-spectral radius of a connected graph. Journal of Inequalities and Applications 2020:1.
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Hezan Huang & Bo Zhou. (2019) Distance spectral radius of unicyclic graphs with fixed maximum degree. Journal of Algebra and Its Applications 19:04, pages 2050068.
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Jie Xue, Huiqiu Lin & Jinlong Shu. (2020) On the second largest distance eigenvalue of a block graph. Linear Algebra and its Applications 591, pages 284-298.
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Ying Zhang, Guangyuan Yang & Bin Zhang. (2020) FW-PSO Algorithm to Enhance the Invulnerability of Industrial Wireless Sensor Networks Topology. Sensors 20:4, pages 1114.
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S. S. Bose, M. Nath & D. Sarma. (2019) Maximal distance spectral radius of trees. Discrete Mathematics, Algorithms and Applications 11:02, pages 1950025.
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Fangguo He. (2017) On the least distance eigenvalues of the second power of a graph. Journal of Applied Mathematics and Computing 58:1-2, pages 183-192.
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R.B. Bapat, D. Kalita, M. Nath & D. Sarma. (2017) Convex and quasiconvex functions on trees and their applications. Linear Algebra and its Applications 533, pages 210-234.
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Minjie Zhang, Shuchao Li & Ivan Gutman. (2017) Connectivity, diameter, independence number and the distance spectral radius of graphs. Linear Algebra and its Applications 529, pages 30-50.
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Dan Li, Guoping Wang & Jixiang Meng. (2017) Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs. Applied Mathematics and Computation 293, pages 218-225.
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Wenshui Lin, Yuan Zhang, Qi’an Chen, Jiwen Chen, Chi Ma & Junjie Chen. (2016) Ordering trees by their distance spectral radii. Discrete Applied Mathematics 203, pages 106-110.
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Mustapha Aouchiche & Pierre Hansen. (2014) Distance spectra of graphs: A survey. Linear Algebra and its Applications 458, pages 301-386.
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MILAN NATH & SOMNATH PAUL. (2014) A NOTE ON THE DISTANCE SPECTRAL RADIUS OF SOME GRAPHS. Discrete Mathematics, Algorithms and Applications 06:01, pages 1450015.
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MILAN NATH & SOMNATH PAUL. (2014) ON THE MINIMAL DISTANCE SPECTRAL RADIUS IN THE CLASS OF BICYCLIC GRAPHS. Discrete Mathematics, Algorithms and Applications 06:01, pages 1450014.
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MILAN NATH & SOMNATH PAUL. (2013) GRAPH TRANSFORMATION AND DISTANCE SPECTRAL RADIUS. Discrete Mathematics, Algorithms and Applications 05:03, pages 1350014.
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Surya Sekhar Bose, Milan Nath & Somnath Paul. (2013) On the maximal distance spectral radius of graphs without a pendent vertex. Linear Algebra and its Applications 438:11, pages 4260-4278.
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SOMNATH PAUL. (2013) ON THE MAXIMAL DISTANCE SPECTRAL RADIUS IN A CLASS OF BICYCLIC GRAPHS. Discrete Mathematics, Algorithms and Applications 04:04, pages 1250061.
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Surya Sekhar Bose, Milan Nath & Somnath Paul. (2012) On the distance spectral radius of cacti. Linear Algebra and its Applications 437:9, pages 2128-2141.
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Xiaoling Zhang. (2012) On the distance spectral radius of some graphs. Linear Algebra and its Applications 437:7, pages 1930-1941.
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