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Volumn 404, Issue 1-3, 2005, Pages 251-261

On the second largest Laplacian eigenvalue of trees

Author keywords

Characteristic polynomial; Laplacian eigenvalue; Perfect matching; Tree

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; LAPLACE TRANSFORMS; LINEAR ALGEBRA; MATHEMATICAL MODELS; POLYNOMIALS; THEOREM PROVING;

EID: 20344378434     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.02.031     Document Type: Article
Times cited : (53)

References (9)
  • 4
    • 0041294769 scopus 로고
    • Ordering trees by algebraic connectivity
    • R. Grone, and R. Merris Ordering trees by algebraic connectivity Graphs Combin. 6 1990 229 237
    • (1990) Graphs Combin. , vol.6 , pp. 229-237
    • Grone, R.1    Merris, R.2
  • 5
    • 0038054102 scopus 로고    scopus 로고
    • On the Laplacian spectral radius of a tree
    • J.-M. Guo On the Laplacian spectral radius of a tree Linear Algebra Appl. 368 2003 379 385
    • (2003) Linear Algebra Appl. , vol.368 , pp. 379-385
    • Guo, J.-M.1
  • 7
    • 20344362744 scopus 로고    scopus 로고
    • Lower bounds on the smallest Laplacian eigenvalue of a graph
    • Y.L. Pan, J.S. Li, and Y.P. Hou Lower bounds on the smallest Laplacian eigenvalue of a graph Linear Multilinear Algebra 3 2001 209 218
    • (2001) Linear Multilinear Algebra , vol.3 , pp. 209-218
    • Pan, Y.L.1    Li, J.S.2    Hou, Y.P.3
  • 8
    • 3042662914 scopus 로고    scopus 로고
    • The third smallest eigenvalue of the Laplacian matrix
    • S. Pati The third smallest eigenvalue of the Laplacian matrix The Electron. J. Linear Algebra 8 2001 128 139
    • (2001) The Electron. J. Linear Algebra , vol.8 , pp. 128-139
    • Pati, S.1
  • 9
    • 0038580950 scopus 로고
    • Bounds on the kth eigenvalues of trees and forests
    • J.-Y. Shao Bounds on the kth eigenvalues of trees and forests Linear Algebra Appl. 149 1991 19 34
    • (1991) Linear Algebra Appl. , vol.149 , pp. 19-34
    • Shao, J.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.