Sentence examples for coloring problem from inspiring English sources

In this appendix we prove that it is NP-complete to decide the existence of the perfect S-IDNC solution (mathcal {S}_{p}) for a given SFM A. Our approach takes two steps: firstly, a polynomial reduction from a graph γ-colorability problem to hypergraph coloring problem, and then a polynomial reduction from hypergraph coloring problem to our problem of finding (mathcal {S}_{p}).

The bin coloring problem is to pack unit size colored items into bins, such that the maximum number of different colors per bin is minimized.

This problem is a generalization of the graph coloring problem.

We formulate the problem as a graph coloring problem.

We study the Partition Coloring Problem (PCP), a generalization of the Vertex Coloring Problem where the vertex set is partitioned.

The corresponding decision list coloring problem is formulated below.

We translate the optimization problem to a graph coloring problem, and provide essentially optimal heuristics for solving the corresponding coloring problem.

In this paper, we are interested in a variation of the classical Vertex Coloring Problem, which is called the Weighted Coloring Problem.

Based on its similarity to distance-2 edge coloring problem which is NP-complete for K ≥ 4, the interference-range edge coloring problem is, therefore, also NP-complete.

end{aligned}When all the vertices of the input graph (G) have equal weights, the Weighted Coloring Problem is equivalent to the Vertex Coloring Problem.

We present an approach based on an integer programming formulation of the graph coloring problem.