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Volumn 59, Issue 9, 2010, Pages 3039-3044

Applications of recurrence relations for the characteristic polynomials of Bethe trees

Author keywords

Adjacency matrix; Bethe tree; Laplacian matrix; Laplacian energy like invariant

Indexed keywords

ADJACENCY MATRICES; CHARACTERISTIC POLYNOMIALS; LAPLACIAN MATRICES; LAPLACIANS; LEVEL 2; RECURRENCE RELATIONS; ROOTED TREES;

EID: 77950861442     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.02.023     Document Type: Article
Times cited : (6)

References (10)
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  • 3
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  • 4
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    • The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
    • Rojo O., and Soto R. The spectra of the adjacency matrix and Laplacian matrix for some balanced trees. Linear Algebra Appl. 403 (2005) 97-117
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    • Rojo, O.1    Soto, R.2
  • 5
    • 48749102234 scopus 로고    scopus 로고
    • An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree
    • Rojo O., and Robbiano M. An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree. Linear Algebra Appl. 427 (2007) 138-150
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    • Rojo, O.1    Robbiano, M.2
  • 6
    • 0039268775 scopus 로고    scopus 로고
    • The determinant of a tree's neighborhood matrix
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  • 7
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    • Constructing the characteristic polynomial of a tree's adjacency matrix
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    • Jacobs, D.P.1    Trevisan, V.2
  • 9
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    • Maximum properties and inequalities for the eigenvalues of completely continuous operators
    • Fan K. Maximum properties and inequalities for the eigenvalues of completely continuous operators. Proc. Natl. Acad. Sci. USA 37 (1951) 760-766
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  • 10
    • 34948830187 scopus 로고    scopus 로고
    • Singular value inequality and graph energy change
    • Day J., and So W. Singular value inequality and graph energy change. Electron. J. Linear Algebra 16 (2007) 291-297
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.