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Questions on graph coloring, an assignment of colors to elements of a graph subject to specific constraints.
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Current state of polynomial-space exact graph coloring
The fastest algorithm I could find that finds the chromatic number of an undirected simple graph exactly in only polynomial-space is "Faster Graph Coloring in Polynomial Space" by Gaspers and Lee (DOI …
1
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1
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138
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Fastest way to find optimal graph coloring in polynomial space given chromatic number
question is not a duplicate, contrary to what the title may suggest: Using the chromatic number to compute an optimal coloring
This is not a homework question, I just want to write a program finding optimal colorings …
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1
answer
123
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Tight approximation for the chromatic number of an arbitrary graph in polynomial space and time
I am looking for an algorithm for approximating the chromatic number of an undirected simple graph with $n$ vertices in $O(n^{c_1})$ time and $O(n^{c_2})$ space, for some constants $c_1$ and $c_2$. Mo …