References
- Bondy , JA and Murty , USR . 1976 . Graph Theory with Applications , London : Macmillan Press .
- Cvetković , DM , Doob , M and Sachs , H . 1980 . Spectra of Graphs , New York : Academic Press .
- Das , KC and Bapat , RB . 2005 . A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs . Linear Algebra Appl. , 409 : 379 – 385 .
- Das , KC and Bapat , RB . 2008 . A sharp upper bound on the spectral radius of weighted graphs . Discrete Math. , 308 : 3180 – 3186 .
- Fernandes , R , Gomes , H and Martins , EA . 2008 . On the spectra of some graphs like weighted rooted trees . Linear Algebra Appl. , 428 : 2654 – 2674 .
- Fiedler , M . 1992 . An extremal problem for the spectral radius of a graph. Topological, algebraical and combinatorial structures. Frolík's memorial volume . Discrete Math. , 108 : 149 – 158 .
- Horn , R and Johnson , CR . 1985 . Matrix Analysis , Cambridge : Cambridge University Press .
- Li , SC and Tian , Y . 2011 . On the spectral radius of weighted unicyclic graphs with a positive weight set . Linear Multilinear Algebra , 59 : 1399 – 1407 .
- Li , SC and Tian , Y . 2011 . On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set . Linear Algebra Appl. , 435 : 1202 – 1212 .
- Poljak , S . 1992 . Minimum spectral radius of a weighted graph . Linear Algebra Appl. , 171 : 53 – 63 .
- Rojo , O . 2007 . A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs . Linear Algebra Appl. , 420 : 625 – 633 .
- Rojo , O and Robbiano , M . 2007 . On the spectra of some weighted rooted trees and applications . Linear Algebra Appl. , 420 : 310 – 328 .
- Tan , SW . 2009 . On the sharp upper bound of spectral radius of weighted trees . J. Math. Res. Exposition , 29 : 293 – 301 .
- Tan , SW and Yao , YH . 2009 . On the spectral radius of weighted trees with fixed diameter and weighted set . Linear Algebra Appl. , 431 : 86 – 98 .
- Yang , HZ , Hu , GZ and Hong , Y . 2003 . Bounds of spectral radii of weighted tree . Tsinghua Sci. Technol. , 8 : 517 – 520 .
- Yuan , JS and Shu , JL . 2006 . On the weighted trees which have the second largest spectral radius . OR Trans. , 1 : 81 – 87 .