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Harmonious coloring

 
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Jan8-11, 01:16 AM   #1
 

Harmonious coloring


Hi All,
does anyone know of any greedy or suboptimal algorithm to obtain harmonious coloring on a graph?
 
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Jan8-11, 04:46 AM   #2
 
what exactly do u want to use it for?
 
Jan9-11, 06:17 PM   #3
 
Sure, you could easily imagine a greedy suboptimal algorithm. Start with a connected graph where all nodes are colorless but one, which has color 1. Maintain a list of color pairs that have already been used. At every step, color a node which is adjacent to a previous node, using an existing color if possible, otherwise using a new color. Continue until all nodes are colored.
 
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