关键词: 冠积, 边冠积, b-染色, b-色数

Abstract: By using the construction of coloring method and greedy algorithm, we studied the b-coloring number and m-degree of corona product and edge corona product of any two graphs, two graphs of the same order and any two complete graphs for limit maximum and minimum degree. On the basis, we derived the b-coloring number and mdegree of the generalized corona product and edge corona product for partial graph class.

Key words: corona product, edge corona product, b-coloring, b-coloring number