J4 ›› 2009, Vol. 44 ›› Issue (10): 14-16.

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An upper bound on the vertex distinguishing IE total chromatic number of graphs

 LIU Shen-Sheng, SHU Zhi-Jiang   

  • Received:2009-01-08 Online:2009-10-16 Published:2009-12-07
  • About author:LIU Xinsheng(1956),male,professor,major in graph theory. Email:liuxs@nwnu.edu.cn
  • Supported by:

    Supported by the Education Department Foundation of Gansu Province (050103)

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Abstract:

The upper bound for the vertex distinguishing IE-total chromatic number by the probability method is studied. If δ≥7 and 16Δ≤n≤Δ7/[32×105(Δ+1)] +1 则χievt(G)≤16Δ,thenχievt(G)≤16Δis proved, where n is the order of G and δ is the minimum degree of G and  Δ is the maximum degree of G

Key words: probability method; positive probability; vertexdistinguishing IEtotal chromatic number

CLC Number: 

  • O157.5
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