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Volumn 162, Issue 1-3, 1996, Pages 199-214

The total chromatic number of any multigraph with maximum degree five is at most seven

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EID: 0010814739     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0012-365X(95)00286-6     Document Type: Article
Times cited : (117)

References (16)
  • 1
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    • (1971) Mathematics and Its Applications (Proc. Conf. Oxford, 1969) , pp. 1-9
    • Behzad, M.1
  • 3
    • 0001295237 scopus 로고
    • On the total coloring of planar graphs
    • O.V. Borodin, On the total coloring of planar graphs, J. Reine Angew. Math. 394 (1989) 180-185.
    • (1989) J. Reine Angew. Math. , vol.394 , pp. 180-185
    • Borodin, O.V.1
  • 4
    • 84987594112 scopus 로고
    • Some upper bounds on the total and list chromatic numbers of multigraphs
    • A. Chetwynd and R. Häggkvist, Some upper bounds on the total and list chromatic numbers of multigraphs, J. Graph Theory 16 (1992) 503-516.
    • (1992) J. Graph Theory , vol.16 , pp. 503-516
    • Chetwynd, A.1    Häggkvist, R.2
  • 6
    • 0000692231 scopus 로고
    • An upper bound for the total chromatic number
    • H. Hind, An upper bound for the total chromatic number, Graphs Combin. 6 (1990) 153-160.
    • (1990) Graphs Combin. , vol.6 , pp. 153-160
    • Hind, H.1
  • 7
    • 0010876208 scopus 로고
    • The total coloring of a multigraph with maximal degree 4
    • A.V. Kostochka, The total coloring of a multigraph with maximal degree 4, Discrete Math. 17 (1977) 161-163.
    • (1977) Discrete Math. , vol.17 , pp. 161-163
    • Kostochka, A.V.1
  • 10
    • 0010942252 scopus 로고
    • Exact upper bound on the total chromatic number of multigraphs
    • Illmenau, GDR, (row B2-B3), in Russian
    • A.V. Kostochka, Exact upper bound on the total chromatic number of multigraphs, in: Proceedings of the 24th Int. Sci. Colloq. of Tech. Univ. of Illmenau (Illmenau, GDR, 1979), vol. 5 (row B2-B3), 33-36 (in Russian).
    • (1979) Proceedings of the 24th Int. Sci. Colloq. of Tech. Univ. of Illmenau , vol.5 , pp. 33-36
    • Kostochka, A.V.1
  • 13
    • 0001550949 scopus 로고
    • Die theorie der reguláren graphen
    • J. Petersen, Die Theorie der reguláren Graphen, Acta Math., 15 (1891) 193-220.
    • (1891) Acta Math. , vol.15 , pp. 193-220
    • Petersen, J.1
  • 14
    • 51249189409 scopus 로고
    • On the total coloring of certain graphs
    • M. Rosenfeld, On the total coloring of certain graphs, Israel J. Math. 9 (1971) 396-402.
    • (1971) Israel J. Math. , vol.9 , pp. 396-402
    • Rosenfeld, M.1
  • 16
    • 0000086098 scopus 로고
    • Some unsolved problems in graph theory
    • in Russian
    • V.G. Vizing, Some unsolved problems in graph theory, Uspeki Mat. Nauk 23 (1968) 117-134 (in Russian).
    • (1968) Uspeki Mat. Nauk , vol.23 , pp. 117-134
    • Vizing, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.