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Volumn 19, Issue 2, 2010, Pages 303-313

Identities and inequalities for tree entropy

Author keywords

[No Author keywords available]

Indexed keywords

FINITE GRAPHS; GRAPH LAPLACIANS; NEUMANN ALGEBRAS; SPANNING TREE; STOCHASTIC DOMINATION;

EID: 77951298940     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548309990605     Document Type: Article
Times cited : (23)

References (15)
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    • Aldous, D.J.1    Lyons, R.2
  • 2
    • 0242278812 scopus 로고    scopus 로고
    • Recurrence of distributional limits of finite planar graphs
    • (electronic)
    • Benjamini, I. and Schramm, O. (2001) Recurrence of distributional limits of finite planar graphs. Electron. J. Probab. 6 -23 (electronic).
    • (2001) Electron. J. Probab. , pp. 6-23
    • Benjamini, I.1    Schramm, O.2
  • 3
    • 0002267352 scopus 로고    scopus 로고
    • Coverings, heat kernels and spanning trees
    • (electronic)
    • Chung, F. R. K. and Yau, S. T. (1999) Coverings, heat kernels and spanning trees. Electron. J. Combin. 6 #12 (electronic).
    • (1999) Electron J. Combin. , pp. 6-12
    • Chung, F.R.K.1    Yau, S.T.2
  • 5
    • 18244407747 scopus 로고    scopus 로고
    • Hyperlinearity, essentially free actions and L2-invariants: The sofic property
    • Elek, G. and Szabó , E. (2005) Hyperlinearity, essentially free actions and L2-invariants: The sofic property. Math. Ann. 332 421-441.
    • (2005) Math. Ann. , vol.332 , pp. 421-441
    • Elek, G.1    Szabó, E.2
  • 6
    • 84972546868 scopus 로고
    • Generalized s-numbers of measurable operators
    • Fack, T. and Kosaki, H. (1986) Generalized s-numbers of measurable operators. Pacific J. Math. 123 269-300.
    • (1986) Pacific J. Math. , vol.123 , pp. 269-300
    • Fack, T.1    Kosaki, H.2
  • 7
    • 0001260520 scopus 로고
    • Determinant theory in finite factors
    • Fuglede, B. and Kadison, R. V. (1952) Determinant theory in finite factors. Ann. of Math. (2) 55 520-530.
    • (1952) Ann. of Math. , vol.2 , Issue.55 , pp. 520-530
    • Fuglede, B.1    Kadison, R.V.2
  • 8
    • 34547271848 scopus 로고    scopus 로고
    • Brown measures of unbounded operators affiliated with a finite von Neumann algebra
    • Haagerup, U. and Schultz, H. (2007) Brown measures of unbounded operators affiliated with a finite von Neumann algebra. Math. Scand. 100 209-263.
    • (2007) Math. Scand. , vol.100 , pp. 209-263
    • Haagerup, U.1    Schultz, H.2
  • 11
    • 23844524256 scopus 로고    scopus 로고
    • Asymptotic enumeration of spanning trees
    • Lyons, R. (2005) Asymptotic enumeration of spanning trees. Combin. Probab. Comput. 14 491-522.
    • (2005) Combin. Probab. Comput. , vol.14 , pp. 491-522
    • Lyons, R.1
  • 12
    • 51349165867 scopus 로고    scopus 로고
    • Growth of the number of spanning trees of the Erdos-Ŕenyi giant component
    • Lyons, R., Peled, R. and Schramm, O. (2008) Growth of the number of spanning trees of the Erdos-Ŕenyi giant component. Combin. Probab. Comput. 17 711-726.
    • (2008) Combin. Probab. Comput. , vol.17 , pp. 711-726
    • Lyons, R.1    Peled, R.2    Schramm, O.3
  • 14
    • 0007012366 scopus 로고
    • Spanning trees in regular graphs
    • McKay, B. D. (1983) Spanning trees in regular graphs. Europ. J. Combin. 4 149-160.
    • (1983) Europ. J. Combin. , vol.4 , pp. 149-160
    • McKay, B.D.1
  • 15
    • 0001728425 scopus 로고
    • On rings of operators
    • Murray, F. J. and Von Neumann, J. (1936) On rings of operators. Ann. of Math. (2) 37 116-229.
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    • Murray, F.J.1    Von Neumann, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.