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Volumn 427, Issue 1, 2007, Pages 138-150

An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree

Author keywords

Adjacency matrix; Bethe trees; Laplacian matrix; Largest eigenvalue; Radius; Tree

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FORESTRY; LAPLACE TRANSFORMS; TREES (MATHEMATICS);

EID: 48749102234     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.06.024     Document Type: Article
Times cited : (50)

References (7)
  • 1
    • 0004236492 scopus 로고
    • second ed., Johns Hopkins University Press, Baltimore
    • G.H. Golub, C.F. Van. Loan, Matrix Computations, second ed., Johns Hopkins University Press, Baltimore, 1989.
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 2
    • 33645734711 scopus 로고    scopus 로고
    • Eigenvalues and eigenvectors of tridiagonal matrices
    • (April)
    • S. Kouachi, Eigenvalues and eigenvectors of tridiagonal matrices, Electron. J. Linear Algebra 15 (April) (2006) 115-133.
    • (2006) Electron. J. Linear Algebra , vol.15 , pp. 115-133
    • Kouachi, S.1
  • 3
    • 18844369358 scopus 로고    scopus 로고
    • The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
    • DOI 10.1016/j.laa.2005.01.011, PII S0024379505000509
    • O. Rojo, R. Soto, The spectra of the adjacency matrix and Laplacian matrix for some balanced trees, Linear Algebra Appl. 403 (2005) 97-117. (Pubitemid 40684171)
    • (2005) Linear Algebra and Its Applications , vol.403 , Issue.1-3 , pp. 97-117
    • Rojo, O.1    Soto, R.2
  • 4
    • 33244478324 scopus 로고    scopus 로고
    • The spectra of some trees and bounds for the largest eigenvalue of any tree
    • DOI 10.1016/j.laa.2005.09.018, PII S0024379505004568
    • O. Rojo, The spectra of some trees and bounds for the largest eigenvalue of any tree, Linear Algebra Appl. 4.14 (2006) 199-217. (Pubitemid 43276495)
    • (2006) Linear Algebra and Its Applications , vol.414 , Issue.1 , pp. 199-217
    • Rojo, O.1
  • 5
    • 84867968386 scopus 로고    scopus 로고
    • Bounding the largest eigenvalue of trees in terms of the largest vertex degree
    • DOI 10.1016/S0024-3795(02)00442-1, PII S0024379502004421
    • D. Stevanović, Bounding the largest eigenvalue of trees in terms of the largest vertex degree, Linear Algebra Appl. 360 (2003) 35-42. (Pubitemid 35464312)
    • (2003) Linear Algebra and Its Applications , vol.360 , pp. 35-42
    • Stevanovic, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.