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Volumn 214, Issue 1-3, 2000, Pages 101-112

Variable degeneracy: Extensions of Brooks' and Gallai's theorems

Author keywords

Degeneracy; Graph colouring; List colouring; Point partition numbers; Vertex function

Indexed keywords


EID: 0347647633     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(99)00221-6     Document Type: Article
Times cited : (48)

References (17)
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    • in Russian
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    • (1976) Metody Diskret. Analiz , vol.28 , pp. 3-11
    • Borodin, O.V.1
  • 5
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    • On an upper bound of a graph's chromatic number, depending on the graph's degree and density
    • O.V. Borodin, A.V. Kostochka, On an upper bound of a graph's chromatic number, depending on the graph's degree and density, J. Combin. Theory Ser. B 23 (1977) 247-250.
    • (1977) J. Combin. Theory Ser. B , vol.23 , pp. 247-250
    • Borodin, O.V.1    Kostochka, A.V.2
  • 7
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    • A six-color theorem
    • F. Franklin, A six-color theorem, J. Math. Phys. 13 (1934) 363-369.
    • (1934) J. Math. Phys. , vol.13 , pp. 363-369
    • Franklin, F.1
  • 9
    • 26344465557 scopus 로고
    • Szinezesi problemacrol
    • L. Gerencsér, Szinezesi problemacrol, Mat. Lapok 16 (1965) 274-277.
    • (1965) Mat. Lapok , vol.16 , pp. 274-277
    • Gerencsér, L.1
  • 10
  • 12
    • 0348096288 scopus 로고
    • The point partition numbers of closed 2-manifolds
    • D.R. Lick, A.T. White, The point partition numbers of closed 2-manifolds, J. London Math. Soc. 4 (1972) 577-583.
    • (1972) J. London Math. Soc. , vol.4 , pp. 577-583
    • Lick, D.R.1    White, A.T.2
  • 13
    • 0013497816 scopus 로고
    • On decomposition of graphs
    • L. Lovász, On decomposition of graphs, Studia Sci. Math. Hungar. 1 (1966) 237-238.
    • (1966) Studia Sci. Math. Hungar. , vol.1 , pp. 237-238
    • Lovász, L.1
  • 14
    • 0347466373 scopus 로고
    • An extension of Brooks' theorem to n-degenerate graphs
    • J. Mitchem, An extension of Brooks' theorem to n-degenerate graphs, Discrete Math. 17 (1977) 291-298.
    • (1977) Discrete Math. , vol.17 , pp. 291-298
    • Mitchem, J.1
  • 15
    • 0006840702 scopus 로고
    • Decomposing a planar graph into degenerate graphs
    • C. Thomassen, Decomposing a planar graph into degenerate graphs, J. Combin. Theory Ser. B 65 (1995) 305-314.
    • (1995) J. Combin. Theory Ser. B , vol.65 , pp. 305-314
    • Thomassen, C.1
  • 16
    • 0003005975 scopus 로고
    • Every planar graph is 5-choosable
    • C. Thomassen, Every planar graph is 5-choosable, J. Combin Theory Ser. B 62 (1994) 180-181.
    • (1994) J. Combin Theory Ser. B , vol.62 , pp. 180-181
    • Thomassen, C.1
  • 17
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    • Vertex colourings with given colours
    • in Russian
    • V.G. Vizing, Vertex colourings with given colours Metody Diskret. Analiz 29 (1976) 3-10 (in Russian).
    • (1976) Metody Diskret. Analiz , vol.29 , pp. 3-10
    • Vizing, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.