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Volumn 165-166, Issue , 1997, Pages 233-252

Path parity and perfection

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EID: 18244422704     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(96)00174-4     Document Type: Article
Times cited : (23)

References (48)
  • 1
    • 0042130301 scopus 로고    scopus 로고
    • A polynomial algorithm for the parity path problem on perfectly orientable graphs
    • S.R. Arikati and U.N. Peled, A polynomial algorithm for the parity path problem on perfectly orientable graphs, Discrete Appl. Math. 65 (1996) 5-20.
    • (1996) Discrete Appl. Math. , vol.65 , pp. 5-20
    • Arikati, S.R.1    Peled, U.N.2
  • 2
    • 0038438258 scopus 로고
    • An efficient algorithm for finding a two-pair, and its applications
    • S.R. Arikati and C. Pandu Rangan, An efficient algorithm for finding a two-pair, and its applications, Discrete Appl. Math. 31 (1991) 71-74.
    • (1991) Discrete Appl. Math. , vol.31 , pp. 71-74
    • Arikati, S.R.1    Pandu Rangan, C.2
  • 3
    • 0007044240 scopus 로고
    • Les problèmes de coloration en théorie des graphes
    • C. Berge, Les problèmes de coloration en théorie des graphes, Publ. Inst. Statist. Univ. Paris 9 (1960) 123-160.
    • (1960) Publ. Inst. Statist. Univ. Paris , vol.9 , pp. 123-160
    • Berge, C.1
  • 5
    • 38249016819 scopus 로고
    • Perfectly contractile graphs
    • M.E. Bertschi, Perfectly contractile graphs, J. Combin. Theory Ser. B 50 (1990) 222-230.
    • (1990) J. Combin. Theory Ser. B , vol.50 , pp. 222-230
    • Bertschi, M.E.1
  • 7
    • 0039703553 scopus 로고
    • On the complexity of testing for odd holes and odd induced paths
    • D. Bienstock, On the complexity of testing for odd holes and odd induced paths, Discrete Math. 90 (1991) 85-92.
    • (1991) Discrete Math. , vol.90 , pp. 85-92
    • Bienstock, D.1
  • 9
    • 0038984508 scopus 로고
    • Perfectly ordered graphs
    • V. Chvátal, Perfectly ordered graphs, Ann. Discrete Math. 21 (1984) 63-68.
    • (1984) Ann. Discrete Math. , vol.21 , pp. 63-68
    • Chvátal, V.1
  • 11
    • 4243743532 scopus 로고
    • Technical Report 89573-OR, Institut fuer Oekonometrie und Operations Research, Bonn, Germany, May
    • V. Chvátal, A class of perfectly orderable graphs, Technical Report 89573-OR, Institut fuer Oekonometrie und Operations Research, Bonn, Germany, May 1989.
    • (1989) A Class of Perfectly Orderable Graphs
    • Chvátal, V.1
  • 12
    • 38249000276 scopus 로고
    • Which claw-free graphs are perfectly orderable ?
    • V. Chvátal, Which claw-free graphs are perfectly orderable ?, Discrete Appl. Math. 44 (1993) 39-63.
    • (1993) Discrete Appl. Math. , vol.44 , pp. 39-63
    • Chvátal, V.1
  • 13
    • 0000188790 scopus 로고
    • Bull-free Berge graphs are perfect
    • V. Chvátal and N. Sbihi, Bull-free Berge graphs are perfect, Graphs and Combin. 3 (1987) 127-139.
    • (1987) Graphs and Combin. , vol.3 , pp. 127-139
    • Chvátal, V.1    Sbihi, N.2
  • 14
    • 38249032438 scopus 로고
    • Recognizing claw-free perfect graphs
    • V. Chvátal and N. Sbihi, Recognizing claw-free perfect graphs, J. Combin. Theory Ser. B 44 (1988) 154-176.
    • (1988) J. Combin. Theory Ser. B , vol.44 , pp. 154-176
    • Chvátal, V.1    Sbihi, N.2
  • 15
    • 0041639620 scopus 로고
    • On the structure of bull-free perfect graphs
    • Estudos e Comunicações do Institute de Matemática, Universidade Federal do Rio de Janeiro
    • C.M.H. de Figueiredo, F. Maffray and O. Porto, On the structure of bull-free perfect graphs, Estudos e Comunicações do Institute de Matemática, Universidade Federal do Rio de Janeiro, 1994, to appear in Graphs and Combin.
    • (1994) Graphs and Combin
    • De Figueiredo, C.M.H.1    Maffray, F.2    Porto, O.3
  • 16
    • 0002892308 scopus 로고
    • Transformations which preserve perfectness and h-perfectness of graphs
    • J. Fonlupt and J.P. Uhry, Transformations which preserve perfectness and h-perfectness of graphs, Ann. Discrete Math. 16 (1982) 83-85.
    • (1982) Ann. Discrete Math. , vol.16 , pp. 83-85
    • Fonlupt, J.1    Uhry, J.P.2
  • 18
    • 0007401960 scopus 로고
    • Algorithms on clique-separable graphs
    • A. Gavril, Algorithms on clique-separable graphs, Discrete Math. 19 (1977) 159-165.
    • (1977) Discrete Math. , vol.19 , pp. 159-165
    • Gavril, A.1
  • 20
    • 0039421137 scopus 로고
    • Polynomial algorithms for perfect graphs
    • C. Berge and V. Chvátal, eds.
    • M. Grötschel, L. Lovász and A. Schrijver, Polynomial algorithms for perfect graphs, in: C. Berge and V. Chvátal, eds., Ann. Discrete Math. 21 (1984) 325-356.
    • (1984) Ann. Discrete Math. , vol.21 , pp. 325-356
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 21
    • 46549090345 scopus 로고
    • Weakly triangulated graphs
    • R. Hayward, Weakly triangulated graphs, J. Combin. Theory Ser. B 39 (1985) 200-208.
    • (1985) J. Combin. Theory Ser. B , vol.39 , pp. 200-208
    • Hayward, R.1
  • 23
    • 38249016730 scopus 로고
    • A fast algorithm for colouring Meyniel graphs
    • A. Hertz, A fast algorithm for colouring Meyniel graphs, J. Combin. Theory Ser. B 50 (1990) 231-240.
    • (1990) J. Combin. Theory Ser. B , vol.50 , pp. 231-240
    • Hertz, A.1
  • 24
    • 38249031360 scopus 로고
    • Perfectly orderable graphs are quasi-parity graphs: A short proof
    • A. Hertz and D. de Werra, Perfectly orderable graphs are quasi-parity graphs: a short proof, Discrete Math. 68 (1988) 111-113.
    • (1988) Discrete Math. , vol.68 , pp. 111-113
    • Hertz, A.1    De Werra, D.2
  • 25
    • 38249035187 scopus 로고
    • Alternating orientation and alternating colouration of perfect graphs
    • C.T. Hoàng, Alternating orientation and alternating colouration of perfect graphs, J. Combin. Theory Ser. B 42 (1987) 264-273.
    • (1987) J. Combin. Theory Ser. B , vol.42 , pp. 264-273
    • Hoàng, C.T.1
  • 26
    • 38249034913 scopus 로고
    • On a conjecture of Meyniel
    • C.T. Hoàng, On a conjecture of Meyniel, J. Combin. Theory Ser. B 42 (1987) 302-312.
    • (1987) J. Combin. Theory Ser. B , vol.42 , pp. 302-312
    • Hoàng, C.T.1
  • 27
    • 0000517796 scopus 로고    scopus 로고
    • Some properties of minimal imperfect graphs
    • C .T. Hoàng, Some properties of minimal imperfect graphs, Discrete Math. 160 (1996) 165-175.
    • (1996) Discrete Math. , vol.160 , pp. 165-175
    • Hoàng, C.T.1
  • 28
    • 24444447601 scopus 로고
    • Weakly triangulated graphs are strict quasi-parity graphs
    • Rutgers Univ.
    • C.T. Hoàng and F. Maffray, Weakly triangulated graphs are strict quasi-parity graphs, Rutcor Research Rpt., Rutgers Univ. 6-86 (1986).
    • (1986) Rutcor Research Rpt. , pp. 6-86
    • Hoàng, C.T.1    Maffray, F.2
  • 29
    • 0007096617 scopus 로고
    • Ph.D. Thesis, Institut für Ökonometrie und Operations Research, Universität Bonn
    • S. Hougardy, Perfekte Graphen, Ph.D. Thesis, Institut für Ökonometrie und Operations Research, Universität Bonn, 1991.
    • (1991) Perfekte Graphen
    • Hougardy, S.1
  • 30
    • 38249000468 scopus 로고
    • Counterexamples to three conjectures concerning perfect graphs
    • S. Hougardy, Counterexamples to three conjectures concerning perfect graphs, Discrete Math. 117 (1993) 245-251.
    • (1993) Discrete Math. , vol.117 , pp. 245-251
    • Hougardy, S.1
  • 31
    • 0023327632 scopus 로고
    • Recognizing planar perfect graphs
    • W.L. Hsu, Recognizing planar perfect graphs, J. ACM 34 (1987) 255-288.
    • (1987) J. ACM , vol.34 , pp. 255-288
    • Hsu, W.L.1
  • 33
    • 0043142478 scopus 로고
    • On planar perfectly contractile graphs
    • Université Joseph Fourier, Grenoble, France
    • C. Linhares-Sales, F. Maffray and B.A. Reed, On planar perfectly contractile graphs, Université Joseph Fourier, Grenoble, France, 1994, to appear in Graphs and Combin.
    • (1994) Graphs and Combin.
    • Linhares-Sales, C.1    Maffray, F.2    Reed, B.A.3
  • 35
    • 49649140846 scopus 로고
    • Normal hypergraphs and the perfect graph conjecture
    • L. Lovász, Normal hypergraphs and the perfect graph conjecture, Discrete Math. 2 (1972) 253-267.
    • (1972) Discrete Math. , vol.2 , pp. 253-267
    • Lovász, L.1
  • 37
    • 0042641563 scopus 로고
    • The graphs whose odd cycles have at least two chords
    • H. Meyniel, The graphs whose odd cycles have at least two chords, Ann. Discrete Math. 21 (1984) 115-120.
    • (1984) Ann. Discrete Math. , vol.21 , pp. 115-120
    • Meyniel, H.1
  • 38
    • 84994450321 scopus 로고
    • A new property of critical imperfect graphs and some consequences
    • H. Meyniel, A new property of critical imperfect graphs and some consequences, European J. Combin. 8 (1987) 313-316.
    • (1987) European J. Combin. , vol.8 , pp. 313-316
    • Meyniel, H.1
  • 39
    • 38249004265 scopus 로고
    • A new conjecture about minimal imperfect graphs
    • H. Meyniel and S. Olariu, A new conjecture about minimal imperfect graphs, J. Combin. Theory Ser. B 47 (1989) 244-247.
    • (1989) J. Combin. Theory Ser. B , vol.47 , pp. 244-247
    • Meyniel, H.1    Olariu, S.2
  • 40
    • 0004521330 scopus 로고
    • On the complexity of recognizing perfectly orderable graphs
    • M. Middendorf and F. Pfeiffer, On the complexity of recognizing perfectly orderable graphs, Discrete Math. 81 (1990) 327-333.
    • (1990) Discrete Math. , vol.81 , pp. 327-333
    • Middendorf, M.1    Pfeiffer, F.2
  • 41
    • 0011563110 scopus 로고
    • No antitwins in minimal imperfect graphs
    • S. Olariu, No antitwins in minimal imperfect graphs, J. Combin. Theory Ser. B 45 (1988) 255-257.
    • (1988) J. Combin. Theory Ser. B , vol.45 , pp. 255-257
    • Olariu, S.1
  • 43
    • 33747204545 scopus 로고
    • Problem session on parity problems
    • Princeton University, NJ, June
    • Problem session on parity problems, DIMACS Workshop on Perfect Graphs, Princeton University, NJ, June 1993.
    • (1993) DIMACS Workshop on Perfect Graphs
  • 44
    • 0042641568 scopus 로고
    • Perfection, parity, planarity, and packing paths
    • R. Kannan and W.R. Pulleyblank, eds., Math. Program. Soc. University of Waterloo Press, Waterloo, Canada
    • B.A. Reed, Perfection, parity, planarity, and packing paths, in: R. Kannan and W.R. Pulleyblank, eds., Integer Programming and Combinatorial Optimization, Math. Program. Soc. (University of Waterloo Press, Waterloo, Canada, 1990) 407-419.
    • (1990) Integer Programming and Combinatorial Optimization , pp. 407-419
    • Reed, B.A.1
  • 45
    • 0039582972 scopus 로고
    • Recognizing bull-free perfect graphs
    • B.A. Reed and N. Sbihi, Recognizing bull-free perfect graphs, Graphs Combin. 11 (1995) 171-178.
    • (1995) Graphs Combin. , vol.11 , pp. 171-178
    • Reed, B.A.1    Sbihi, N.2
  • 46
    • 84919301480 scopus 로고
    • Building counterexamples
    • Princeton University, NJ, June
    • I. Rusu, Building counterexamples, DIMACS Workshop on Perfect Graphs, Princeton University, NJ, June 1993.
    • (1993) DIMACS Workshop on Perfect Graphs
    • Rusu, I.1
  • 47
    • 0043142477 scopus 로고
    • Quasi-parity and perfect graphs
    • I. Rusu, Quasi-parity and perfect graphs, Inform Process Lett. 54 (1995) 35-39.
    • (1995) Inform Process Lett. , vol.54 , pp. 35-39
    • Rusu, I.1
  • 48
    • 0006732409 scopus 로고
    • The strong perfect graph conjecture for planar graphs
    • A. Tucker, The strong perfect graph conjecture for planar graphs, Canad. J. Math. 25 (1973) 103-114.
    • (1973) Canad. J. Math. , vol.25 , pp. 103-114
    • Tucker, A.1


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