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Edge-face total chromatic number of outerplanar graphs with Δ (G)=6

  • Session 7A: Combinatorics
  • Conference paper
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Part of the book series:Lecture Notes in Computer Science ((LNCS,volume 959))

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Abstract

Let G be a planar graph without cut vertex, letχ(G) be the edge-face total chromatic number of G. This paper provesχ(G)=6 if G is an outerplanar graph withΔ(G)=6.

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References

  1. G. Chartrand and L. Lesniak,“Graphs and Digraph”,Second edition, Wadswordth and Brooks/Cole, Monterey, Calif, 1986

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  2. Hu Guanzhang, Zhang Zhongfu, The Edge-face total colouring of planar graphs, Journal of Tsinghua University, Vol 32, 3(1992),18–23

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  3. Zhang Zhongfu e. t. c. The Complete chromatic number of some graphs, Science in China (Series A), Vol 36,10 (1993),1169∼1177

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Author information

Authors and Affiliations

  1. Lanzhou Railway Institute, 730070, China

    C. F. Chang, J. X. Chang & X. C. Lu

  2. Dept. of. Math., Hong Kong Baptist University, China

    Peter C. B. Lam

  3. Ins. Appl. Math., Academic Sinica, 100080, Beijing, China

    J. F. Wang

Authors
  1. C. F. Chang

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  2. J. X. Chang

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  3. X. C. Lu

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  4. Peter C. B. Lam

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  5. J. F. Wang

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Editor information

Ding-Zhu Du Ming Li

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© 1995 Springer-Verlag Berlin Heidelberg

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Cite this paper

Chang, C.F., Chang, J.X., Lu, X.C., Lam, P.C.B., Wang, J.F. (1995). Edge-face total chromatic number of outerplanar graphs with Δ (G)=6. In: Du, DZ., Li, M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030858

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