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Volumn 62, Issue 3, 2009, Pages 537-552

Applications of a theorem by Ky fan in the theory of Laplacian energy of graphs

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EID: 77949411680     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (27)

References (21)
  • 1
    • 54349090369 scopus 로고    scopus 로고
    • Upper bounds for Laplacian energy of graphs
    • T. Aleksić, Upper bounds for Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 60 (2008) 435-439.
    • (2008) MATCH Commun. Math. Comput. Chem. , vol.60 , pp. 435-439
    • Aleksić, T.1
  • 3
    • 34948830187 scopus 로고    scopus 로고
    • Singular value inequality and graph energy change
    • J. Day, W. So, Singular value inequality and graph energy change, El. J. Lin. Algebra 16 (2007) 291-297.
    • (2007) El. J. Lin. Algebra , vol.16 , pp. 291-297
    • Day, J.1    So, W.2
  • 5
    • 0000282987 scopus 로고
    • Maximum properties and inequalities for the eigenvalues of completely continuous operators
    • K. Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. 37 (1951) 760-766.
    • (1951) Proc. Nat. Acad. Sci. U.S.A. , vol.37 , pp. 760-766
    • Fan, K.1
  • 6
    • 84968511031 scopus 로고
    • Some metric inequalities in the space of matrices
    • K. Fan, A.J. Hoffman, Some metric inequalities in the space of matrices, Proc. Amer. Math. Soc. 6 (1955) 111-116.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 111-116
    • Fan, K.1    Hoffman, A.J.2
  • 9
    • 0011983412 scopus 로고    scopus 로고
    • The energy of a graph: Old and new results
    • A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.), Springer-Verlag, Berlin
    • I. Gutman, The energy of a Graph: Old and New Results, in: A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.), Algebraic Combinatorics and Applications, Springer-Verlag, Berlin, 2001, pp. 196-211.
    • (2001) Algebraic Combinatorics and Applications , pp. 196-211
    • Gutman, I.1
  • 12
    • 33244458912 scopus 로고    scopus 로고
    • Laplacian energy of a graph
    • I. Gutman, B. Zhou, Laplacian energy of a graph, Lin. Algebra Appl. 414 (2006) 29-37.
    • (2006) Lin. Algebra Appl. , vol.414 , pp. 29-37
    • Gutman, I.1    Zhou, B.2
  • 16
    • 33750626281 scopus 로고    scopus 로고
    • The energy of graphs and matrices
    • V. Nikiforov, The energy of graphs and matrices, J. Math. Anal. Appl. 326 (2007) 1472-1475.
    • (2007) J. Math. Anal. Appl. , vol.326 , pp. 1472-1475
    • Nikiforov, V.1
  • 19
    • 84972517879 scopus 로고
    • Convex and concave functions of singular values of matrix sums
    • R. C. Thompson, Convex and concave functions of singular values of matrix sums, Pacific J. Math. 66 (1976) 285-290.
    • (1976) Pacific J. Math. , vol.66 , pp. 285-290
    • Thompson, R.C.1
  • 20
    • 84972500253 scopus 로고
    • The case of equality in the matrix-valued triangle inequalitity
    • R. C. Thompson, The case of equality in the matrix-valued triangle inequalitity, Pacific J. Math. 82 (1979) 279-280.
    • (1979) Pacific J. Math. , vol.82 , pp. 279-280
    • Thompson, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.