The Laplacian spread of graphs

作者: Zhifu You , Bolian Liu

DOI: 10.1007/S10587-012-0003-Z

关键词: Laplace operatorLaplacian matrixGraphEigenvalues and eigenvectorsResistance distanceDiscrete mathematicsCombinatoricsOrdinary differential equationLaplacian eigenvaluesAlgebraic connectivityMathematicsGeneral Mathematics

摘要: … Recently, the unicyclic graphs with maximum Laplacian spread [15], [1] and minimum … Laplacian eigenvalues. In Section 5, we discuss some operations on graphs and Laplacian spread…

参考文章(25)
Yi-Zheng Fan, Yi Wang, Dong Liang, Jing Xu, The Laplacian spread of a tree Discrete Mathematics & Theoretical Computer Science. ,vol. 10, ,(2008)
Miroslav Fiedler, Algebraic connectivity of graphs Czechoslovak Mathematical Journal. ,vol. 23, pp. 298- 305 ,(1973) , 10.21136/CMJ.1973.101168
Yanqing Chen, Ligong Wang, The Laplacian Spread of Tricyclic Graphs The Electronic Journal of Combinatorics. ,vol. 16, pp. 80- ,(2009) , 10.37236/169
Zhifu You, Bolian Liu, The minimum Laplacian spread of unicyclic graphs Linear Algebra and its Applications. ,vol. 432, pp. 499- 504 ,(2010) , 10.1016/J.LAA.2009.08.027
Robert Grone, Russell Merris, V. S. Sunder, The Laplacian spectrum of a graph SIAM Journal on Matrix Analysis and Applications. ,vol. 11, pp. 218- 238 ,(1990) , 10.1137/0611016
Mirjana Lazić, On the Laplacian energy of a graph Czechoslovak Mathematical Journal. ,vol. 56, pp. 1207- 1213 ,(2006) , 10.1007/S10587-006-0089-2
Jianxi Li, Wai Chee Shiu, Wai Hong Chan, Some results on the Laplacian eigenvalues of unicyclic graphs Linear Algebra and its Applications. ,vol. 430, pp. 2080- 2093 ,(2009) , 10.1016/J.LAA.2008.11.016
Yan-Hong Bao, Ying-Ying Tan, Yi-Zheng Fan, The Laplacian spread of unicyclic graphs Applied Mathematics Letters. ,vol. 22, pp. 1011- 1015 ,(2009) , 10.1016/J.AML.2009.01.023
Yuan Hong, Jin-Long Shu, A sharp upper bound for the spectral radius of the Nordhaus-Gaddum type Discrete Mathematics. ,vol. 211, pp. 229- 232 ,(2000) , 10.1016/S0012-365X(99)90280-7
Robert Grone, Russell Merris, The Laplacian Spectrum of a Graph II SIAM Journal on Discrete Mathematics. ,vol. 7, pp. 221- 229 ,(1994) , 10.1137/S0895480191222653