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Volumn 11, Issue , 2002, Pages 98-107

The Forest Metrics for Graph Vertices1 1 This work was supported by RFBR Grant 99-01-01151 and INTAS Grant 96- 106.

Author keywords

Laplacian matrix; matrix forest theorem; Nonstandard graph metric; relative forest accessibility

Indexed keywords


EID: 34247125749     PISSN: 15710653     EISSN: 15710653     Source Type: Journal    
DOI: 10.1016/S1571-0653(04)00058-7     Document Type: Article
Times cited : (23)

References (17)
  • 1
    • 0033259817 scopus 로고    scopus 로고
    • Linear estimation in models based on a graph
    • Bapat R.B. Linear estimation in models based on a graph. Linear Algebra Appl 302-303 (1999) 223-230
    • (1999) Linear Algebra Appl , vol.302-303 , pp. 223-230
    • Bapat, R.B.1
  • 3
    • 0039168319 scopus 로고
    • Aggregation of preferences by the generalized row sum method
    • Chebotarev P.Yu. Aggregation of preferences by the generalized row sum method. Math. Social Sci 27 (1994) 293-320
    • (1994) Math. Social Sci , vol.27 , pp. 293-320
    • Chebotarev, P.Yu.1
  • 4
    • 34247092108 scopus 로고    scopus 로고
    • P.Yu. Chebotarev and E. Shamis, On the proximity measure for graph vertices provided by the inverse Laplacian characteristic matrix, 5 Conference of the International Linear Algebra Society, Georgia State University, Atlanta, 1995, 30-31.
  • 5
    • 84902030030 scopus 로고    scopus 로고
    • The matrix-forest theorem and measuring relations in small social groups
    • Chebotarev P.Yu., and Shamis E.V. The matrix-forest theorem and measuring relations in small social groups. Automat. Remote Control 58 (1997) 1505-1514
    • (1997) Automat. Remote Control , vol.58 , pp. 1505-1514
    • Chebotarev, P.Yu.1    Shamis, E.V.2
  • 6
    • 84902022219 scopus 로고    scopus 로고
    • On a duality between metrics and Σ-proximities
    • Chebotarev P.Yu., and Shamis E.V. On a duality between metrics and Σ-proximities. Automat. Remote Control 59 (1998) 608-612
    • (1998) Automat. Remote Control , vol.59 , pp. 608-612
    • Chebotarev, P.Yu.1    Shamis, E.V.2
  • 7
    • 84902022219 scopus 로고    scopus 로고
    • On a duality between metrics and Σ-proximities
    • Erratum
    • Chebotarev P.Yu., and Shamis E.V. On a duality between metrics and Σ-proximities. Erratum. Automat. Remote Control 59 (1998) 1501
    • (1998) Automat. Remote Control , vol.59 , pp. 1501
    • Chebotarev, P.Yu.1    Shamis, E.V.2
  • 9
    • 0031536270 scopus 로고    scopus 로고
    • Distances in weighted trees and group inverse of Laplacian matrices
    • Kirkland S.J., Neumann M., and Shader B.L. Distances in weighted trees and group inverse of Laplacian matrices. SIAM J. Matrix Anal. Appl 18 (1997) 827-841
    • (1997) SIAM J. Matrix Anal. Appl , vol.18 , pp. 827-841
    • Kirkland, S.J.1    Neumann, M.2    Shader, B.L.3
  • 10
    • 0031474634 scopus 로고    scopus 로고
    • Graph geometrygraph metrics & Wiener
    • Klein D.J. Graph geometrygraph metrics & Wiener. Commun. Math. Computer Chem 35 (1997) 7-27
    • (1997) Commun. Math. Computer Chem , vol.35 , pp. 7-27
    • Klein, D.J.1
  • 13
    • 0040946858 scopus 로고    scopus 로고
    • Doubly stochastic graph matrices II
    • Merris R. Doubly stochastic graph matrices II. Linear and Multilinear Algebra 45 (1998) 275-285
    • (1998) Linear and Multilinear Algebra , vol.45 , pp. 275-285
    • Merris, R.1
  • 14
    • 0040820993 scopus 로고
    • Graph-theoretic interpretation of the generalized row sum method
    • Shamis E. Graph-theoretic interpretation of the generalized row sum method. Math. Social Sci 27 (1994) 321-333
    • (1994) Math. Social Sci , vol.27 , pp. 321-333
    • Shamis, E.1
  • 16
    • 0010712604 scopus 로고    scopus 로고
    • Rank one perturbation and its application to the Laplacian spectrum of a graph
    • So W. Rank one perturbation and its application to the Laplacian spectrum of a graph. Linear and Multilinear Algebra 46 (1999) 193-198
    • (1999) Linear and Multilinear Algebra , vol.46 , pp. 193-198
    • So, W.1
  • 17
    • 0031538103 scopus 로고    scopus 로고
    • Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks
    • Styan G.P.H., and Subak-Sharpe G.E. Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks. Linear Algebra Appl 250 (1997) 349-370
    • (1997) Linear Algebra Appl , vol.250 , pp. 349-370
    • Styan, G.P.H.1    Subak-Sharpe, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.