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Open Accesshttps://doi.org/10.1016/j.disc.2012.08.006
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Cite Journal: Discrete Mathematics |  Publication Date: Sep 7, 2012 |
 Citations: 28 |  License type: publisher-specific-oa |
Affiliation: Zhejiang Normal University
An adjacent vertex distinguishing total coloring of a graph G is a proper total coloring of G such that any pair of adjacent vertices have different sets of colors. The minimum number of colors needed for such a total coloring of G is denoted by χa″(G). In this note, we show that χa″(G)≤2Δ for any graph G with maximum degree Δ≥3.
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