메뉴 건너뛰기




Volumn 33, Issue 2, 2000, Pages 83-93

Four-terminal reducibility and projective-planar wye-delta-wye-reducible graphs

Author keywords

Reducible graphs; Terminal; Wye delta

Indexed keywords


EID: 0034407452     PISSN: 03649024     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0118(200002)33:2<83::AID-JGT3>3.0.CO;2-P     Document Type: Article
Times cited : (24)

References (29)
  • 1
    • 0041742346 scopus 로고
    • The use of wye-delta transformations in network simplification
    • S. B. Akers Jr., The use of wye-delta transformations in network simplification, Oper Res 8 (1960), 311-323.
    • (1960) Oper Res , vol.8 , pp. 311-323
    • Akers S.B., Jr.1
  • 2
    • 0000629168 scopus 로고
    • A Kuratowski theorem for the projective plane
    • D. S. Archdeacon, A Kuratowski theorem for the projective plane, J Graph Theory 5 (1981), 243-246.
    • (1981) J Graph Theory , vol.5 , pp. 243-246
    • Archdeacon, D.S.1
  • 3
    • 0039703152 scopus 로고
    • Generating projective plane polyhedral maps
    • D. W. Barnette, Generating projective plane polyhedral maps, J Combin Theory B 51 (1991), 277-291.
    • (1991) J Combin Theory B , vol.51 , pp. 277-291
    • Barnette, D.W.1
  • 4
    • 0030232129 scopus 로고    scopus 로고
    • The delta-wye approximation procedure for two-terminal reliability
    • M. K. Chari, T. A. Feo, and J. S. Provan, The delta-wye approximation procedure for two-terminal reliability, Oper Res 44 (1996), 745-755.
    • (1996) Oper Res , vol.44 , pp. 745-755
    • Chari, M.K.1    Feo, T.A.2    Provan, J.S.3
  • 6
    • 0037565829 scopus 로고
    • A new approach to solving three combinatorial enumeration problems on planar graphs, ARIDAM VI and VII (New Brunswick, NJ, 1991/1992)
    • C. J. Colbourn, J. S. Provan, and D. Vertigan, A new approach to solving three combinatorial enumeration problems on planar graphs, ARIDAM VI and VII (New Brunswick, NJ, 1991/1992), Discrete Appl Math 60 (1995), 119-129.
    • (1995) Discrete Appl Math , vol.60 , pp. 119-129
    • Colbourn, C.J.1    Provan, J.S.2    Vertigan, D.3
  • 8
    • 38249020050 scopus 로고
    • On two dual classes of planar graphs
    • E. S. Elmallah and C. J. Colbourn, On two dual classes of planar graphs, Discrete Math 80 (1990), 21-40.
    • (1990) Discrete Math , vol.80 , pp. 21-40
    • Elmallah, E.S.1    Colbourn, C.J.2
  • 9
    • 0038918936 scopus 로고
    • Reduction of a plane graph to an edge by a star-triangle transformation
    • G. V. Epifanov, Reduction of a plane graph to an edge by a star-triangle transformation, Soviet Math Doklady 166 (1966), 13-17.
    • (1966) Soviet Math Doklady , vol.166 , pp. 13-17
    • Epifanov, G.V.1
  • 11
    • 0005579498 scopus 로고
    • Delta-wye transformations and the efficient reduction of two-terminal planar graphs
    • T. A. Feo and J. S. Provan, Delta-wye transformations and the efficient reduction of two-terminal planar graphs, Oper Res 41 (1993), 572-582.
    • (1993) Oper Res , vol.41 , pp. 572-582
    • Feo, T.A.1    Provan, J.S.2
  • 16
    • 0041742344 scopus 로고
    • On the Kauffman polynomial of planar matroids
    • Prachatice
    • F. Jaeger, On the Kauffman polynomial of planar matroids, Fourth Czech Symp Combin, Graphs Complexity (Prachatice, 1990), North-Holland, Amsterdam, Ann Discrete Math 51 (1992), 117-127.
    • (1990) Fourth Czech Symp Combin, Graphs Complexity
    • Jaeger, F.1
  • 17
    • 0041742344 scopus 로고
    • North-Holland, Amsterdam
    • F. Jaeger, On the Kauffman polynomial of planar matroids, Fourth Czech Symp Combin, Graphs Complexity (Prachatice, 1990), North-Holland, Amsterdam, Ann Discrete Math 51 (1992), 117-127.
    • (1992) Ann Discrete Math , vol.51 , pp. 117-127
  • 18
    • 0042242753 scopus 로고
    • Wye-delta transformations in probabilistic networks
    • A. B. Lehman, Wye-delta transformations in probabilistic networks, J SIAM 11 (1962), 773-805.
    • (1962) J SIAM , vol.11 , pp. 773-805
    • Lehman, A.B.1
  • 19
    • 84986471233 scopus 로고
    • Cubic graphs with crossing number two
    • B. Richter, Cubic graphs with crossing number two, J Graph Theory 12 (1988), 363-374.
    • (1988) J Graph Theory , vol.12 , pp. 363-374
    • Richter, B.1
  • 20
    • 0000751282 scopus 로고
    • Representativity of surface embeddings
    • B. Korte, L. Lovasz, H. Prömel, A. Schrijver (Editors), Springer-Verlag
    • N. Robertson and R. Vitray, "Representativity of surface embeddings," Paths, flows, and VLSI-layout, B. Korte, L. Lovasz, H. Prömel, A. Schrijver (Editors), Springer-Verlag, 1990.
    • (1990) Paths, Flows, and VLSI-layout
    • Robertson, N.1    Vitray, R.2
  • 22
    • 84986435894 scopus 로고
    • On the delta-wye reduction for planar graphs
    • K. Truemper, On the delta-wye reduction for planar graphs, J Graph Theory 13 (1989), 141-148.
    • (1989) J Graph Theory , vol.13 , pp. 141-148
    • Truemper, K.1
  • 23
    • 0042242740 scopus 로고
    • A decomposition theory for matroids VI: Almost regular matroids
    • K. Truemper, A decomposition theory for matroids VI: Almost regular matroids, J Combin Theory Ser B 55 (1992), 235-301.
    • (1992) J Combin Theory Ser B , vol.55 , pp. 235-301
    • Truemper, K.1
  • 24
    • 0041742343 scopus 로고
    • A decomposition theory for matroids VII: Analysis of minimal violation matrices
    • K. Truemper, A decomposition theory for matroids VII: Analysis of minimal violation matrices, J Combin Theory B 55 (1992), 302-335.
    • (1992) J Combin Theory B , vol.55 , pp. 302-335
    • Truemper, K.1
  • 26
    • 0019532794 scopus 로고
    • Universality considerations in VLSI circuits
    • L. G. Valiant, Universality considerations in VLSI circuits, IEEE Transact Comp 30 (1981), 135-140.
    • (1981) IEEE Transact Comp , vol.30 , pp. 135-140
    • Valiant, L.G.1
  • 27
    • 0002048935 scopus 로고
    • 2 and 3 representative projective planar embeddings
    • R. Vitray, 2 and 3 representative projective planar embeddings, J Combin Theory B 54 (1992), 1-12.
    • (1992) J Combin Theory B , vol.54 , pp. 1-12
    • Vitray, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.