[１] Merris R. A note on Laplacian graph eigenvalues[J]. Linear Algebra Appl,1998,285:3335.[２] Das K C. An improved upper bound for Laplacian graph eigenvalues[J]. Linear Algebra Appl,2003,368:269278.[３] Zhang X D. Two sharp upper bounds for the Laplacian eigenvalues[J]. Linear Algebra Appl,2004,376:207213.[４] Li J S, Pan Y L. De Cane’s inequality and bounds on the largest Laplacian eigenvalue of a graph[J]. Linear Algebra Appl,2001,328:153160.[５] 徐淮涓. 图的Laplacian矩阵的谱半径[J]. 四川师范大学学报:自然科学版,2006,29(5):549551.[６] 汪天飞,李彬. 图的最大拉谱拉斯特征值的上界[J]. 四川师范大学学报:自然科学版,2007,30(2):191193.[７] 汪天飞,李彬. 图的Laplacian特征值的一个新的紧的上界[J]. 西南民族大学学报:自然科学版,2007,33(2):287290.[８] Cvetkovic D M, Doob M, Sachs H. Spectral of Graph:Theory and Applications[M]. New York:Academic Press,1980.[９] Cao D S. Bounds on eigenvalues and chromatic numbers[J]. Linear Algebra Appl,1998,270:113.
[2]
Pan Y L. Sharp upper bounds for the Laplacian graph eigenvalues[J]. Linear Algebra Appl,2002,355:287295.
[3]
Rojo O. A nontrival upper bound on the largest Laplacian eigenvalue of weighted graphs[J]. Linear Algebra Appl,2007,420:625633.
[4]
Lin L. The Laplacian spectral radius of graphs on surfaces[J]. Linear Algebra Appl,2007,420:973977.
[5]
Horn R A, Johnson C R. Matrix Analysis[M]. Cambridge:Cambridge University Press,1985.
[6]
Guo J M. A new upper bound for the Laplacian spectral radius of graphs[J]. Linear Algebra Appl,2005,400:6166.
[7]
Das K C, Bapat R B. A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs[J]. Linear Algebra Appl,2005,409:153165.
