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Volumn 429, Issue 8-9, 2008, Pages 1962-1969

Laplacian spectral radius of trees with given maximum degree

Author keywords

Laplacian spectral radius; Local switching; Maximum degree; Tree

Indexed keywords

LAPLACIAN SPECTRAL RADIUS; LOCAL SWITCHING; MAXIMUM DEGREE; TREE;

EID: 49249123902     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2008.05.028     Document Type: Article
Times cited : (14)

References (13)
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  • 3
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    • The effect on the Laplacian spectral radius of a graph by adding or grafting edges
    • Guo J.M. The effect on the Laplacian spectral radius of a graph by adding or grafting edges. Linear Algebra Appl. 413 (2006) 59-71
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  • 4
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    • On the Laplacian spectral radius of trees with fixed diameter
    • Guo J.M. On the Laplacian spectral radius of trees with fixed diameter. Linear Algebra Appl. 419 (2006) 618-629
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  • 5
    • 29344455778 scopus 로고    scopus 로고
    • The star is the tree with greatest Laplacian eigenvalue
    • Gutman I. The star is the tree with greatest Laplacian eigenvalue. Kragujevac J. Math. 24 (2002) 61-65
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    • Gutman, I.1
  • 6
    • 22144445673 scopus 로고    scopus 로고
    • Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrix of trees
    • Hong Y., and Zhang X.D. Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrix of trees. Discrete Math. 296 (2005) 187-197
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    • Hong, Y.1    Zhang, X.D.2
  • 7
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    • Laplacian matrices of graphs: a survey
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  • 8
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    • The path is the tree with smallest greatest Laplacian eigenvalue
    • Petrović M., and Gutman I. The path is the tree with smallest greatest Laplacian eigenvalue. Kragujevac J. Math. 24 (2002) 67-70
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    • Petrović, M.1    Gutman, I.2
  • 10
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    • Improved bounds for the largest eigenvalue of trees
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  • 12
    • 84867968386 scopus 로고    scopus 로고
    • Bounding the largest eigenvalue of trees in terms of the largest vertex degree
    • Stevanović D. Bounding the largest eigenvalue of trees in terms of the largest vertex degree. Linear Algebra Appl. 360 (2003) 35-42
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  • 13
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    • The two largest eigenvalues of Laplacian matrices of trees
    • (in Chinese)
    • Zhang X.D., and Li J.S. The two largest eigenvalues of Laplacian matrices of trees. J. China Univer. Sci. Technol. 28 (1998) 513-518 (in Chinese)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.