JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 24-30.doi: 10.6040/j.issn.1671-9352.0.2016.615

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Vertex-distinguishing total coloring of mC8

HE Yu-ping1, WANG Zhi-wen2, CHEN Xiang-en1*   

  1. 1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China;
    2. College of Mathematics and Statistics, Ningxia University, Yinchuan 750021, Ningxia, China
  • Received:2016-12-29 Online:2017-10-20 Published:2017-10-12

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Abstract: The vertex-distinguishing total colorings of disjoint union of mC8 are discussed and the vertex-distinguishing total chromatic numbers of these graphs is determined. The result in this paper illustrated the VDTC conjecture is valid for these graphs.

Key words: cycle, vertex-distinguishing total coloring, vertex-distinguishing total chromatic number, proper total coloring

CLC Number: 

  • O157.5
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