메뉴 건너뛰기




Volumn 76, Issue 2, 1997, Pages 333-347

Fractional and integral colourings

Author keywords

Chromatic number; Graph colouring; Integer rounding; Stable set

Indexed keywords


EID: 0038638511     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02614444     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 0000181965 scopus 로고
    • Compositions of graphs and polyhedra II: Stable sets
    • F. Barahona and A.R. Mahjoub, Compositions of graphs and polyhedra II: stable sets, SIAM J. Disc. Math. 7 (1994) 359-371.
    • (1994) SIAM J. Disc. Math. , vol.7 , pp. 359-371
    • Barahona, F.1    Mahjoub, A.R.2
  • 3
    • 0000704005 scopus 로고
    • Integer rounding for polymatroid and branching optimization problems
    • S. Baum and L.E. Trotter Jr., Integer rounding for polymatroid and branching optimization problems, SIAM J. Algebraic and Disc. Methods 2 (1981) 416-425.
    • (1981) SIAM J. Algebraic and Disc. Methods , vol.2 , pp. 416-425
    • Baum, S.1    Trotter L.E., Jr.2
  • 5
    • 0006645947 scopus 로고
    • Polytope des indépendants d'un graphe série-parallèle
    • M. Boulala and J.-P. Uhry, Polytope des indépendants d'un graphe série-parallèle, Disc. Math. 27 (1979) 225-243.
    • (1979) Disc. Math. , vol.27 , pp. 225-243
    • Boulala, M.1    Uhry, J.-P.2
  • 6
    • 0011297006 scopus 로고
    • Hajös graph-colouring conjecture: Variations and counterexamples
    • P.A. Catlin, Hajös graph-colouring conjecture: variations and counterexamples, J. Comb. Theory (B) 26 (1979) 268-274.
    • (1979) J. Comb. Theory (B) , vol.26 , pp. 268-274
    • Catlin, P.A.1
  • 7
    • 84883316196 scopus 로고
    • A property of 4-chromatic graphs and remarks on critical graphs
    • G. Dirac, A property of 4-chromatic graphs and remarks on critical graphs, J. London Math. Society 27 (1952) 85-92.
    • (1952) J. London Math. Society , vol.27 , pp. 85-92
    • Dirac, G.1
  • 8
    • 0001368104 scopus 로고
    • Topology of series parallel networks
    • R.J. Duffin, Topology of series parallel networks, J. Math. Anal. Appl. 10 (1965) 308-318.
    • (1965) J. Math. Anal. Appl. , vol.10 , pp. 308-318
    • Duffin, R.J.1
  • 9
    • 0005388824 scopus 로고
    • Anti-blocking polyhedra
    • D.R. Fulkerson, Anti-blocking polyhedra, J. Comb. Theory (B) 12 (1972) 125-130.
    • (1972) J. Comb. Theory (B) , vol.12 , pp. 125-130
    • Fulkerson, D.R.1
  • 11
    • 51249175913 scopus 로고
    • Matrices with the Edmonds-Johnson property
    • A.M.H. Gerards and A. Schrijver, Matrices with the Edmonds-Johnson property, Combinatorial 6 (1986) 365-379.
    • (1986) Combinatorial , vol.6 , pp. 365-379
    • Gerards, A.M.H.1    Schrijver, A.2
  • 12
    • 0002818039 scopus 로고
    • On multigraphs with almost maximal chromatic class
    • in Russian
    • M.K. Goldberg, On multigraphs with almost maximal chromatic class, Diskret. Analiz. 23 (1973) 3-7 (in Russian).
    • (1973) Diskret. Analiz. , vol.23 , pp. 3-7
    • Goldberg, M.K.1
  • 13
    • 0039746991 scopus 로고
    • Wissenschaftliche Buchgesellschaft, Darmstadt
    • R. Halin, Graphentheorie II (Wissenschaftliche Buchgesellschaft, Darmstadt, 1981).
    • (1981) Graphentheorie II
    • Halin, R.1
  • 16
    • 0030536576 scopus 로고    scopus 로고
    • Subdivisions and the chromatic index of r-graphs
    • K. Kilakos and B. Shepherd, Subdivisions and the chromatic index of r-graphs, J. Graph Theory 22 (1996) 203-212.
    • (1996) J. Graph Theory , vol.22 , pp. 203-212
    • Kilakos, K.1    Shepherd, B.2
  • 17
    • 49649140846 scopus 로고
    • Normal hypergraphs and the perfect graph conjecture
    • L. Lovász, Normal hypergraphs and the perfect graph conjecture, Disc. Math. 2 (1972) 253-276.
    • (1972) Disc. Math. , vol.2 , pp. 253-276
    • Lovász, L.1
  • 18
    • 0023863806 scopus 로고
    • On the stable set polytope of a series-parallel graph
    • A.R. Mahjoub, On the stable set polytope of a series-parallel graph, Math. Prog. 40 (1988) 53-57.
    • (1988) Math. Prog. , vol.40 , pp. 53-57
    • Mahjoub, A.R.1
  • 21
    • 0001195983 scopus 로고
    • On multi-colourings of cubic graphs and conjectures of Fulkerson and Tutte
    • P.D. Seymour, On multi-colourings of cubic graphs and conjectures of Fulkerson and Tutte, J. London Math. Society 38 (1979) 423-451.
    • (1979) J. London Math. Society , vol.38 , pp. 423-451
    • Seymour, P.D.1
  • 22
    • 33644561816 scopus 로고
    • On Tutte's extension of the four-colour problem
    • P.D. Seymour, On Tutte's extension of the four-colour problem, J. Comb. Theory (B) 31 (1981) 82-94.
    • (1981) J. Comb. Theory (B) , vol.31 , pp. 82-94
    • Seymour, P.D.1
  • 23
    • 0038299568 scopus 로고
    • Colouring series-parallel graphs
    • P.D. Seymour, Colouring series-parallel graphs, Combinatorica 10 (1990) 379-392.
    • (1990) Combinatorica , vol.10 , pp. 379-392
    • Seymour, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.