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- W69972014 abstract "In this paper, let d be the maximum degree of G, we study the upper bounds for the D(β)-vertex-distinguishing edge-chromatic number by probability method and prove that $$ chi^prime_{beta-vd}(G)leq left{ begin{array}{ll} 2sqrt{2(beta-1)}d^{frac{beta+2}{2}},& dgeq 4, beta geq4; 8d^{frac{5}{2}},& dgeq 6, beta=3; 32d^2,& dgeq 4, beta=2. end{array}right.$$" @default.
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- W69972014 date "2007-01-01" @default.
- W69972014 modified "2023-10-17" @default.
- W69972014 title "Upper Bounds on the D(β)-Vertex-Distinguishing Edge-Chromatic Numbers of Graphs" @default.
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- W69972014 doi "https://doi.org/10.1007/978-3-540-72588-6_74" @default.
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