Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract#R##N##R##N#A harmonious coloring of a simple graph G is a coloring of the vertices such that adjacent vertices receive distinct colors and each pair of colors appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colors in such a coloring.  improve an upper bound on h(G) due to Lee and Mitchem, and give upper bounds for related quantities.
['Colin McDiarmid', 'Luo Xinhua']
I am writing a research paper on a idea Upper bounds for harmonious colorings
[{"from": "human", "value": "I am writing a research paper on a idea Upper bounds for harmonious colorings"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract#R##N##R##N#A harmonious coloring of a simple graph G is a coloring of the vertices such that adjacent vertices receive distinct colors and each pair of colors appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colors in such a coloring.  improve an upper bound on h(G) due to Lee and Mitchem, and give upper bounds for related quantities."}]