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Volumn 397, Issue 1-3, 2005, Pages 209-222

On algebraic connectivity and spectral integral variations of graphs

Author keywords

Algebraic connectivity; Characteristic set; Laplacian matrix; Perron branch; Spectral integral variation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; SET THEORY; THEOREM PROVING; VECTORS;

EID: 12444251119     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.10.015     Document Type: Article
Times cited : (23)

References (10)
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    • R.B. Bapat, and S. Pati Algebraic connectivity and the characteristic set of a graph Linear and Multilinear Algebra 45 1998 247 273
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    • Bapat, R.B.1    Pati, S.2
  • 3
    • 0141457905 scopus 로고    scopus 로고
    • On graphs with algebraic connectivity equal to minimum edge density
    • S.M. Fallat, S. Kirkland, and S. Pati On graphs with algebraic connectivity equal to minimum edge density Linear Algebra Appl. 373 2003 31 50
    • (2003) Linear Algebra Appl. , vol.373 , pp. 31-50
    • Fallat, S.M.1    Kirkland, S.2    Pati, S.3
  • 4
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler Algebraic connectivity of graphs Czechoslovak Math. J. 23 1973 298 305
    • (1973) Czechoslovak Math. J. , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 5
    • 0442307278 scopus 로고    scopus 로고
    • A characterization of spectral integral variation in two places for Laplacian matrices
    • S. Kirkland A characterization of spectral integral variation in two places for Laplacian matrices Linear and Multilinear Algebra 52 2004 79 98
    • (2004) Linear and Multilinear Algebra , vol.52 , pp. 79-98
    • Kirkland, S.1
  • 6
    • 33750999449 scopus 로고
    • Laplacian matrices of graphs: A survey
    • R. Merris Laplacian matrices of graphs: a survey Linear Algebra Appl. 197/198 1994 143 176
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 143-176
    • Merris, R.1
  • 7
    • 11544285071 scopus 로고    scopus 로고
    • Laplacian graph eigenvectors
    • R. Merris Laplacian graph eigenvectors Linear Algebra Appl. 278 1998 221 236
    • (1998) Linear Algebra Appl. , vol.278 , pp. 221-236
    • Merris, R.1
  • 8
    • 0010712604 scopus 로고    scopus 로고
    • Rank one perturbation and its application to Laplacian spectrum of a graph
    • W. So Rank one perturbation and its application to Laplacian spectrum of a graph Linear and Multilinear Algebra 46 3 1999 193 198
    • (1999) Linear and Multilinear Algebra , vol.46 , Issue.3 , pp. 193-198
    • So, W.1
  • 9
    • 0007137351 scopus 로고
    • A short proof of the planarity characterization of Colin de Verdiere
    • H. van der Holst A short proof of the planarity characterization of Colin de Verdiere J. Combin. Theory Ser. B 65 1995 269 272
    • (1995) J. Combin. Theory Ser. B , vol.65 , pp. 269-272
    • Van Der Holst, H.1
  • 10
    • 0036005483 scopus 로고    scopus 로고
    • On spectral integral variations of graphs
    • Y. Fan On spectral integral variations of graphs Linear and Multilinear Algebra 50 2002 133 142
    • (2002) Linear and Multilinear Algebra , vol.50 , pp. 133-142
    • Fan, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.