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Volumn 132, Issue 1-3, 2003, Pages 47-65

On the structure and stability number of P5- and co-chair-free graphs

Author keywords

Clique width of graphs; Maximum Weight Stable Set Problem on graphs; Modular decomposition; P5 and co chair free graphs; P5 and co P free graphs; Prime graphs

Indexed keywords

ALGORITHMS; POLYNOMIALS; PROBLEM SOLVING; SET THEORY;

EID: 0142124740     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(03)00389-5     Document Type: Conference Paper
Times cited : (41)

References (39)
  • 1
    • 0037953307 scopus 로고    scopus 로고
    • A polynomial algorithm for finding maximum independent sets in fork-free graphs
    • Alekseev V.E. A polynomial algorithm for finding maximum independent sets in fork-free graphs. Discrete Anal. Oper. Res. 6(4):1999;3-19.
    • (1999) Discrete Anal. Oper. Res. , vol.6 , Issue.4 , pp. 3-19
    • Alekseev, V.E.1
  • 2
    • 31244432997 scopus 로고    scopus 로고
    • 5,diamond)-free graphs
    • Manuscript, 1998
    • 5,diamond)-free graphs, Manuscript, 1998 Discrete Math. 250:2002;1-22.
    • (2002) Discrete Math. , vol.250 , pp. 1-22
    • Arbib, C.1    Mosca, R.2
  • 3
    • 84949933990 scopus 로고    scopus 로고
    • 5,diamond)-Free Graphs Revisited: Structure, bounded clique width and linear time optimization
    • Technical Report CS-09-01, University of Rostock, to appear
    • 5,diamond)-Free Graphs Revisited: Structure, bounded clique width and linear time optimization, Technical Report CS-09-01, University of Rostock, 2001, Discrete Appl. Math., to appear.
    • (2001) Discrete Appl. Math.
    • Brandstädt, A.1
  • 4
    • 0142075411 scopus 로고    scopus 로고
    • New graph classes of bounded clique width
    • Extended abstract in: Graph-Theoretic Concepts in Computer Science, 28 International Workshop, WG, full version accepted for Theory of Computing Systems.
    • A. Brandstädt, F.F. Dragan, H.-O. Le, R. Mosca, New graph classes of bounded clique width, Extended abstract in: Graph-Theoretic Concepts in Computer Science, 28 International Workshop, WG 2002, LNCS 2573, pp. 57-67 full version accepted for Theory of Computing Systems.
    • (2002) LNCS , vol.2573 , pp. 57-67
    • Brandstädt, A.1    Dragan, F.F.2    Le, H.-O.3    Mosca, R.4
  • 5
    • 4243328181 scopus 로고    scopus 로고
    • Stability number of bull- and chair-free graphs revisited
    • Technical Report CS-01-01, University of Rostock, accepted
    • A. Brandstädt, C.T. Hoàng, V.B. Le, Stability number of bull- and chair-free graphs revisited, Technical Report CS-01-01, University of Rostock, 2001, Discrete Appl. Math., accepted.
    • (2001) Discrete Appl. Math.
    • Brandstädt, A.1    Hoàng, C.T.2    Le, V.B.3
  • 8
    • 0037449036 scopus 로고    scopus 로고
    • Structure and stability number of (Chair,Co-P,Gem)-free graphs revisited
    • A. Brandstädt, H.-O. Le, J.-M. Vanherpe, Structure and stability number of (Chair,Co-P,Gem)-free graphs revisited, Information Processing Letter 86 (2003) 161-167.
    • (2003) Information Processing Letter , vol.86 , pp. 161-167
    • Brandstädt, A.1    Le, H.-O.2    Vanherpe, J.-M.3
  • 9
    • 0008495246 scopus 로고    scopus 로고
    • A note on α -redundant vertices in graphs
    • Brandstädt A., Lozin V.V. A note on. α -redundant vertices in graphs Discrete Appl. Math. 108:2001;301-308.
    • (2001) Discrete Appl. Math. , vol.108 , pp. 301-308
    • Brandstädt, A.1    Lozin, V.V.2
  • 12
    • 0000074216 scopus 로고
    • Cographs: Recognition, applications, and algorithms
    • Corneil D.G., Perl Y., Stewart L.K. Cographs. recognition, applications, and algorithms Congr. Numer. 43:1984;249-258.
    • (1984) Congr. Numer. , vol.43 , pp. 249-258
    • Corneil, D.G.1    Perl, Y.2    Stewart, L.K.3
  • 13
    • 0022162058 scopus 로고
    • A linear recognition algorithm for cographs
    • Corneil D.G., Perl Y., Stewart L.K. A linear recognition algorithm for cographs. SIAM J. Comput. 14:1985;926-934.
    • (1985) SIAM J. Comput. , vol.14 , pp. 926-934
    • Corneil, D.G.1    Perl, Y.2    Stewart, L.K.3
  • 15
    • 0034399867 scopus 로고    scopus 로고
    • Linear time solvable optimization problems on graphs of bounded clique width
    • Courcelle B., Makowsky J.A., Rotics U. Linear time solvable optimization problems on graphs of bounded clique width. Theory Comput. Systems. 33:2000;125-150.
    • (2000) Theory Comput. Systems , vol.33 , pp. 125-150
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 16
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique width of graphs
    • Courcelle B., Olariu S. Upper bounds to the clique width of graphs. Discrete Appl. Math. 101:2000;77-114.
    • (2000) Discrete Appl. Math. , vol.101 , pp. 77-114
    • Courcelle, B.1    Olariu, S.2
  • 17
    • 85010931132 scopus 로고
    • A new linear algorithm for modular decomposition
    • LIRMM, University Montpellier, 1995, Preliminary version in: Trees in Algebra and Programming - CAAP '94, Springer, Berlin
    • A. Cournier, M. Habib, A new linear algorithm for modular decomposition, LIRMM, University Montpellier, 1995, Preliminary version in: Trees in Algebra and Programming - CAAP '94, Lecture Notes in Computer Science, Vol. 787, Springer, Berlin, 1994, 68-84.
    • (1994) Lecture Notes in Computer Science , vol.787 , pp. 68-84
    • Cournier, A.1    Habib, M.2
  • 18
    • 0012657153 scopus 로고    scopus 로고
    • Efficient and practical modular decomposition
    • Dahlhaus E., Gustedt J., McConnell R.M. Efficient and practical modular decomposition. J. Algorithms. 41(2):2001;360-387.
    • (2001) J. Algorithms , vol.41 , Issue.2 , pp. 360-387
    • Dahlhaus, E.1    Gustedt, J.2    McConnell, R.M.3
  • 19
    • 0037874825 scopus 로고
    • On the vertex packing problem
    • De Simone C. On the vertex packing problem. Graphs Combin. 9:1993;19-30.
    • (1993) Graphs Combin. , vol.9 , pp. 19-30
    • De Simone, C.1
  • 20
    • 38249022379 scopus 로고
    • On diameters and radii of bridged graphs
    • Farber M. On diameters and radii of bridged graphs. Discrete Math. 73:1989;249-260.
    • (1989) Discrete Math. , vol.73 , pp. 249-260
    • Farber, M.1
  • 26
    • 0012668375 scopus 로고
    • M.Sc. Thesis, School of Computer Science, McGill University, Montreal
    • C.T. Hoàng, A class of perfect graphs, M.Sc. Thesis, School of Computer Science, McGill University, Montreal, 1983.
    • (1983) A Class of Perfect Graphs
    • Hoàng, C.T.1
  • 27
    • 0012717414 scopus 로고
    • Ph.D. Thesis, School of Computer Science, McGill University, Montreal
    • C.T. Hoàng, Perfect graphs, Ph.D. Thesis, School of Computer Science, McGill University, Montreal, 1985.
    • (1985) Perfect Graphs
    • Hoàng, C.T.1
  • 28
    • 84986528056 scopus 로고
    • Some classes of perfectly orderable graphs
    • Hoàng C.T., Reed B. Some classes of perfectly orderable graphs. J. Graph Theory. 13:1989;445-463.
    • (1989) J. Graph Theory , vol.13 , pp. 445-463
    • Hoàng, C.T.1    Reed, B.2
  • 30
  • 32
    • 0000848263 scopus 로고    scopus 로고
    • Modular decomposition and transitive orientation
    • McConnell R.M., Spinrad J. Modular decomposition and transitive orientation. Discrete Math. 201:1999;189-241.
    • (1999) Discrete Math. , vol.201 , pp. 189-241
    • McConnell, R.M.1    Spinrad, J.2
  • 33
    • 0001500094 scopus 로고
    • On maximal independent sets of vertices in claw-free graphs
    • Minty G.J. On maximal independent sets of vertices in claw-free graphs. J. Combin. Theory (B). 28:1980;284-304.
    • (1980) J. Combin. Theory (B) , vol.28 , pp. 284-304
    • Minty, G.J.1
  • 34
    • 0000055363 scopus 로고
    • Substitution decomposition for discrete structures and connections with combinatorial optimization
    • Möhring R.H., Radermacher F.J. Substitution decomposition for discrete structures and connections with combinatorial optimization. Ann. Discrete Math. 19:1984;257-356.
    • (1984) Ann. Discrete Math. , vol.19 , pp. 257-356
    • Möhring, R.H.1    Radermacher, F.J.2
  • 36
  • 37
    • 0041480829 scopus 로고    scopus 로고
    • Book Manuscript. Nashville, TN: Vanderbilt University
    • Spinrad J.P. Representations of Graphs, Book Manuscript. 1998;Vanderbilt University, Nashville, TN.
    • (1998) Representations of Graphs
    • Spinrad, J.P.1
  • 38
    • 0001228780 scopus 로고
    • A new algorithm for generating all the maximal independent sets
    • Tsukiyama S., Ide M., Ariyoshi H., Shirakawa I. A new algorithm for generating all the maximal independent sets. SIAM J. Comput. 6:1977;505-517.
    • (1977) SIAM J. Comput. , vol.6 , pp. 505-517
    • Tsukiyama, S.1    Ide, M.2    Ariyoshi, H.3    Shirakawa, I.4
  • 39
    • 0000434570 scopus 로고
    • The complexity of the partial order dimension problem
    • Yannakakis M. The complexity of the partial order dimension problem. SIAM J. Algebraic Discrete Methods. 3:1982;351-358.
    • (1982) SIAM J. Algebraic Discrete Methods , vol.3 , pp. 351-358
    • Yannakakis, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.