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On adjacent-vertex-distinguishing total coloring of graphs

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Abstract

In this paper, we present a new concept of the adjacent-vertex-distinguishing total coloring of graphs (briefly, AVDTC of graphs) and, meanwhile, have obtained the adjacent-vertex-distinguishing total chromatic number of some graphs such as cycle, complete graph, complete bipartite graph, fan, wheel and tree.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Northwest Normal University, 730070, Lanzhou, China

    Zhongfu Zhang, Xiang’en Chen & Bing Yao

  2. Department of Computer, Lanzhou Normal College, 730070, Lanzhou, China

    Zhongfu Zhang

  3. Institute of Applied Mathematics, Lanzhou Jiaotong University, 730070, Lanzhou, China

    Zhongfu Zhang & Xinzhong Lu

  4. College of Information and Electrical Engineering, Lanzhou Jiaotong University, 730070, Lanzhou, China

    Jingwen Li

  5. Institute of Applied Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Jianfang Wang

Authors
  1. Zhongfu Zhang
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  2. Xiang’en Chen
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  3. Jingwen Li
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  4. Bing Yao
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  5. Xinzhong Lu
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  6. Jianfang Wang
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Corresponding author

Correspondence to Xiang’en Chen.

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Zhang, Z., Chen, X., Li, J. et al. On adjacent-vertex-distinguishing total coloring of graphs. Sci. China Ser. A-Math. 48, 289–299 (2005). https://doi.org/10.1360/03ys0207

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  • DOI: https://doi.org/10.1360/03ys0207

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