Some kinds of edge colorings and some results
In this section, we focus on two kinds of edge colorings, which are proper vertex coloring and adjacent vertex distinguishing edge coloring.
- proper vertex coloring of graphs
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Adjacent vertex distinguishing edge coloring
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Some examples of proper edge coloring and adjacent vertex distinguishing edge coloring
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List version of adjacent vertex distinguishing edge coloring
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The result in our research
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5.1 Structural properties of the minimum counterexample of Theorem 1



5.2 Applying discharging method to prove Theorem 1









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