The More Organized Proof For Acyclic Coloring Of Graphs With Δ = 5 with 8 Colors

An acyclic coloring of a graph G is a coloring of its vertices such that:(i) no two neighbors in G are assigned the same color and (ii) no bicolored cycle can exist in G. The acyclic chromatic number of G is the least number of colors necessary to acyclically color G. Recently it has been proved that any graph of maximum degree 5 has an acyclic chromatic number at most 8. In this paper we present another proof for this result.

Authors:

• Ahmad Salehi

Keywords:

• Acyclic Coloring
• Vertex coloring.

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