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On semidefinite programming based heuristics for the graph coloring problem
Đukanović, Igor, matematik ...
The Lovász theta number is a well-known lower bound on the chromatic number of a graph $G$. and $\Psi_K(G)$is its impressive strengthening. We apply semidefinite programming formulation of a both ...functions to obtain suboptimal (matrix) solutions in a polynomial time. These matrices carry valuable information on how to color the graph. The resulting graph coloring heuristics utilizing these two functions are compared on medium sized graphs.
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