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Volumn 125, Issue 2-3, 2003, Pages 215-224

On the stable set problem in special P 5-free graphs

Author keywords

Polynomial algorithm; Stability number; Stable set

Indexed keywords


EID: 84867959839     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(01)00321-3     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0008438746 scopus 로고
    • On the number of maximal stable sets in graphs from hereditary classes
    • University of Nizhny Novgorod in Russian
    • V.E. Alekseev, On the number of maximal stable sets in graphs from hereditary classes, Combinatorial-algebraic methods in discrete optimization, University of Nizhny Novgorod, 1991, pp. 5-8 (in Russian).
    • (1991) Combinatorial-algebraic Methods in Discrete Optimization , pp. 5-8
    • Alekseev, V.E.1
  • 2
    • 0037953307 scopus 로고    scopus 로고
    • A polynomial algorithm for finding maximum independent sets in fork-free graphs
    • in Russian
    • V.E. Alekseev, A polynomial algorithm for finding maximum independent sets in fork-free graphs, Discrete Anal. Oper. Res. Ser. 1 6(4) (1999) 3-19 (in Russian).
    • (1999) Discrete Anal. Oper. Res. Ser. 1 , vol.6 , Issue.4 , pp. 3-19
    • Alekseev, V.E.1
  • 4
    • 0342660398 scopus 로고    scopus 로고
    • On local transformations of graphs that preserve the independence number
    • in Russian
    • V.E. Alekseev, V.V. Lozin, On local transformations of graphs that preserve the independence number, Discrete Anal. Oper. Res. Ser. 1 5(1) (1998) 3-19 (in Russian).
    • (1998) Discrete Anal. Oper. Res. Ser. 1 , vol.5 , Issue.1 , pp. 3-19
    • Alekseev, V.E.1    Lozin, V.V.2
  • 8
    • 0008495246 scopus 로고    scopus 로고
    • A note on α-redundant vertices in graphs
    • A. Brandstädt, and V.V. Lozin 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
  • 10
    • 0022161446 scopus 로고
    • The complexity of generalized clique packing
    • D.G. Corneil The complexity of generalized clique packing Discrete Appl. Math. 12 1985 233 239
    • (1985) Discrete Appl. Math. , vol.12 , pp. 233-239
    • Corneil, D.G.1
  • 11
    • 0022162058 scopus 로고
    • A linear recognition algorithm for cographs
    • D.G. Corneil, Y. Perl, and L.K. Stewart 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
  • 12
    • 38249007475 scopus 로고
    • Stability number of bull- and chair-free graphs
    • C. de Simone, and A. Sassano Stability number of bull- and chair-free graphs Discrete Appl. Math. 41 1993 121 129
    • (1993) Discrete Appl. Math. , vol.41 , pp. 121-129
    • De Simone, C.1    Sassano, A.2
  • 13
    • 85013103377 scopus 로고
    • An upper bound on the number of cliques in a graph
    • M. Farber, M. Hujter, and Zs. Tuza An upper bound on the number of cliques in a graph Networks 23 1993 207 210
    • (1993) Networks , vol.23 , pp. 207-210
    • Farber, M.1    Hujter, M.2    Tuza, Zs.3
  • 17
    • 0008488831 scopus 로고    scopus 로고
    • Weighted parameters in (P 5, P 5) -free graphs
    • V. Giakoumakis, and I. Rusu Weighted parameters in (P 5, P 5) -free graphs Discrete Appl. Math. 80 2-3 1997 255 261
    • (1997) Discrete Appl. Math. , vol.80 , Issue.23 , pp. 255-261
    • Giakoumakis, V.1    Rusu, I.2
  • 18
    • 0041739712 scopus 로고
    • Quasimonotone Boolean functions and bistellar graphs
    • P.L. Hammer, and B. Simeone Quasimonotone Boolean functions and bistellar graphs Ann. Discrete Math. 9 1980 107 119
    • (1980) Ann. Discrete Math. , vol.9 , pp. 107-119
    • Hammer, P.L.1    Simeone, B.2
  • 20
    • 0039022320 scopus 로고
    • Polynomially solvable cases for the maximum stable set problem
    • A. Hertz Polynomially solvable cases for the maximum stable set problem Discrete Appl. Math. 60 1995 195 210
    • (1995) Discrete Appl. Math. , vol.60 , pp. 195-210
    • Hertz, A.1
  • 21
    • 0041625944 scopus 로고    scopus 로고
    • On the use of Boolean methods for the computation of the stability number
    • A. Hertz On the use of Boolean methods for the computation of the stability number Discrete Appl. Math. 76 1997 183 203
    • (1997) Discrete Appl. Math. , vol.76 , pp. 183-203
    • Hertz, A.1
  • 22
    • 0142221572 scopus 로고    scopus 로고
    • On a graph transformation which preserves the stability number
    • A. Hertz On a graph transformation which preserves the stability number Yugoslav J. Oper. Res. 10/1 2000 1 12
    • (2000) Yugoslav J. Oper. Res. , vol.10 , Issue.1 , pp. 1-12
    • Hertz, A.1
  • 24
    • 0347366319 scopus 로고
    • Linear recognition of pseudo-split graphs
    • F. Maffray, and M. Preissmann Linear recognition of pseudo-split graphs Discrete Appl. Math. 52 1994 307 312
    • (1994) Discrete Appl. Math. , vol.52 , pp. 307-312
    • Maffray, F.1    Preissmann, M.2
  • 25
    • 0040206343 scopus 로고
    • ORWP 90/2, Department of Mathematics, Swiss Federal Institute of Technology
    • N.V.R. Mahadev, Vertex deletion and stability number, ORWP 90/2, Department of Mathematics, Swiss Federal Institute of Technology, 1990.
    • (1990) Vertex Deletion and Stability Number
    • Mahadev, N.V.R.1
  • 26
    • 0001500094 scopus 로고
    • On maximal independent sets of vertices in claw-free graphs
    • G.J. Minty On maximal independent sets of vertices in claw-free graphs J. Combin. Theory Ser. B 28 1980 284 304
    • (1980) J. Combin. Theory Ser. B , vol.28 , pp. 284-304
    • Minty, G.J.1
  • 28
    • 0040935812 scopus 로고
    • A note on stable sets and coloring of graphs
    • S. Poljak A note on stable sets and coloring of graphs Comment. Math. Univ. Carolinae 15 1974 307 309
    • (1974) Comment. Math. Univ. Carolinae , vol.15 , pp. 307-309
    • Poljak, S.1
  • 29
    • 0001228780 scopus 로고
    • A new algorithm for generating all the maximal independent sets
    • S. Tsukiyama, M. Ide, H. Ariyoshi, and I. Shirakawa A new algorithm for generating all the maximal independent sets SIAM J. Computing 6 1977 505 517
    • (1977) SIAM J. Computing , vol.6 , pp. 505-517
    • Tsukiyama, S.1    Ide, M.2    Ariyoshi, H.3    Shirakawa, I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.