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20 october 2018 04:02:38

 
Algorithms, Vol. 11, Pages 161: Total Coloring Conjecture for Certain Classes of Graphs (Algorithms)
 


A total coloring of a graph G is an assignment of colors to the elements of the graph G such that no two adjacent or incident elements receive the same color. The total chromatic number of a graph G, denoted by ? ´ ´ ( G ) , is the minimum number of colors that suffice in a total coloring. Behzad and Vizing conjectured that for any graph G, ? ( G ) + 1


 
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