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Volumn 158, Issue 14, 2010, Pages 1496-1505

Metric and ultrametric spaces of resistances

Author keywords

Joule Lenz heat; Maximum flow; Maxwell principle; Metric and ultrametric spaces; Ohm law; Shortest and bottleneck paths

Indexed keywords

BOTTLENECK PATHS; ELECTRICAL CIRCUIT; MAXIMUM FLOWS; OHM LAW; OHM'S LAW; PER UNIT; POTENTIAL DIFFERENCE; RESISTANCE DISTANCE; SHORTEST PATH; STRICTLY POSITIVE REAL; TRIANGLE INEQUALITY; ULTRAMETRIC SPACE;

EID: 77953962664     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2010.05.007     Document Type: Article
Times cited : (22)

References (21)
  • 2
    • 77953962206 scopus 로고    scopus 로고
    • E. Boros, K. Elbassioni, Gurvich, K. Makino, A pumping algorithm for ergodic mean payoff stochastic games with perfect information, RUTCOR Research Reports, RRR-19-2009 and RRR-05-2010, Rutgers University, in: Proceedings of the 14th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2010, Lausanne, Switzerland, 9-11 June 2010, in: Lecture Notes in Computer Science (in press).
    • E. Boros, K. Elbassioni, Gurvich, K. Makino, A pumping algorithm for ergodic mean payoff stochastic games with perfect information, RUTCOR Research Reports, RRR-19-2009 and RRR-05-2010, Rutgers University, in: Proceedings of the 14th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2010, Lausanne, Switzerland, 9-11 June 2010, in: Lecture Notes in Computer Science (in press).
  • 4
    • 0000748672 scopus 로고
    • Multi-terminal network flows
    • Gomory R.E., and Hu T.C. Multi-terminal network flows. J. SIAM 9 4 (1961) 551-570
    • (1961) J. SIAM , vol.9 , Issue.4 , pp. 551-570
    • Gomory, R.E.1    Hu, T.C.2
  • 5
    • 77953959553 scopus 로고    scopus 로고
    • Metric and ultrametric spaces of resistances
    • (in Russian)
    • Gurvich V.A. Metric and ultrametric spaces of resistances. Mat. Prosveschenie (Enlightment) (2009) 134-141 (in Russian)
    • (2009) Mat. Prosveschenie (Enlightment) , pp. 134-141
    • Gurvich, V.A.1
  • 6
    • 84861193407 scopus 로고
    • Metric and ultrametric spaces of resistances
    • Communications of the Moscow Mathematical Society
    • Gvishiani A.D., and Gurvich V.A. Metric and ultrametric spaces of resistances. Communications of the Moscow Mathematical Society. Russian Math. Surveys 42 6 (258) (1987) 235-236
    • (1987) Russian Math. Surveys , vol.42 , Issue.6 258 , pp. 235-236
    • Gvishiani, A.D.1    Gurvich, V.A.2
  • 7
    • 77953959510 scopus 로고
    • Conditions of existence and uniqueness of a solution of problems of convex programming
    • Gvishiani A.D., and Gurvich V.A. Conditions of existence and uniqueness of a solution of problems of convex programming. Russian Math. Surveys 45 4 (1990) 173-174
    • (1990) Russian Math. Surveys , vol.45 , Issue.4 , pp. 173-174
    • Gvishiani, A.D.1    Gurvich, V.A.2
  • 10
    • 0042872922 scopus 로고    scopus 로고
    • Resistance-distance sum rules
    • Klein D.J. Resistance-distance sum rules. Croat. Chem. Acta 75 (2002) 633-649
    • (2002) Croat. Chem. Acta , vol.75 , pp. 633-649
    • Klein, D.J.1
  • 14
    • 0010407873 scopus 로고    scopus 로고
    • Note on the resistance distances in the dodecahedron
    • Lukovits L., Nikolić S., and Trinajstić N. Note on the resistance distances in the dodecahedron. Croat. Chem. Acta 73 (2000) 957-967
    • (2000) Croat. Chem. Acta , vol.73 , pp. 957-967
    • Lukovits, L.1    Nikolić, S.2    Trinajstić, N.3
  • 15
    • 77953960928 scopus 로고
    • Why resistance does not decrease?
    • (in Russian). English translation in Quant. Selecta, Algebra and Analysis II, S. Tabachnikov (Ed.), AMS, Math. World, 15 (1999) 63-72
    • Lyashko O.V. Why resistance does not decrease?. Kvant 1 (1985) 10-15 (in Russian). English translation in Quant. Selecta, Algebra and Analysis II, S. Tabachnikov (Ed.), AMS, Math. World, 15 (1999) 63-72
    • (1985) Kvant , vol.1 , pp. 10-15
    • Lyashko, O.V.1
  • 17
    • 0035147992 scopus 로고    scopus 로고
    • Closed-form formulas for Kirchhoff index
    • Palacios J.L.L. Closed-form formulas for Kirchhoff index. Int. J. Quantum Chem. 81 (2001) 135-140
    • (2001) Int. J. Quantum Chem. , vol.81 , pp. 135-140
    • Palacios, J.L.L.1
  • 19
    • 77953957981 scopus 로고    scopus 로고
    • at
    • Wikipedia, Resistance Distance, at http://en.wikipedia.org/wiki/Resistance_distance.
    • Resistance Distance
  • 21
    • 0346220170 scopus 로고    scopus 로고
    • Resistance distance and Laplacian spectrum
    • Xiao W., and Gutman I. Resistance distance and Laplacian spectrum. Theor. Chem. Acc. 110 (2003) 284-289
    • (2003) Theor. Chem. Acc. , vol.110 , pp. 284-289
    • Xiao, W.1    Gutman, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.