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math.CO2022★ 2 cited
On the harmonious chromatic number of graphs
Gabriela Araujo-Pardo, Juan José Montellano-Ballesteros, Mika Olsen +1
The harmonious chromatic number of a graph is the minimum number of colors that can be assigned to the vertices of in a proper way such that any two distinct edges have dif…
math.CO2022
Zykov sums of digraphs with diachromatic number equal to their harmonious number
Mika Olsen, Christian Rubio-Montiel, Alejandra Silva-Ramírez
The dichromatic number and the diachromatic number are generalizations of the chromatic number and the achromatic number for digraphs considering acyclic colorings. In this paper,…