coloring algorithm造句

• Apply a bipartite graph edge coloring algorithm to.
• There are however exponential time exact edge coloring algorithms that give an optimal solution.
• The bound is found using improved coloring algorithm.
• For an ordering with this property, the greedy coloring algorithm uses at most colors.
• It may be the case that the graph coloring algorithm fails to find a coloring of the interference graph.
• The upper bound, proved in Heawood's original short paper, is based on a greedy coloring algorithm.
• In the same paper they briefly describe a linear-time five-coloring algorithm, which is asymptotically optimal.
• In addition to reducing time improved coloring algorithm also reduces the number of steps needed to find a maximum clique.
• Set of vertices " R " can now be used as input for both approximate coloring algorithm and ColorSort algorithm.
• In 1996, Robertson, Sanders, Seymour, and Thomas described a quadratic four-coloring algorithm in their " Efficiently four-coloring planar graphs ".
• Chordal graphs are perfectly orderable : an optimal coloring may be obtained by applying a greedy coloring algorithm to the vertices in the reverse of a perfect elimination ordering.
• However, an approximation ratio of two can be achieved by a greedy coloring algorithm, because the chromatic number of a claw-free graph is greater than half its maximum degree.
• He used this approach not only for 3-coloring but as part of a more general graph coloring algorithm, and similar approaches to graph coloring have been refined by other authors since.
• More specifically, comparability graphs are perfectly orderable graphs, a subclass of perfect graphs : a greedy coloring algorithm for a topological ordering of a transitive orientation of the graph will optimally color them.
• Cooper and Dasgupta recently developed a " lossy " Chaitin-Briggs graph coloring algorithm suitable for use in a JIT . The " lossy " moniker refers to the imprecision the algorithm introduces into the interference graph.
• Indeed, for sparse graphs, the standard greedy coloring strategy of choosing the first available color achieves this competitive ratio, and it is possible to prove a matching lower bound on the competitive ratio of any online coloring algorithm.
• In comparison to earlier algorithms described in the published article the MaxCliqueDyn algorithm is improved by an improved approximate coloring algorithm ( ColorSort algorithm ) and by applying tighter, more computationally expensive upper bounds on a fraction of the search space.
• A greedy coloring algorithm that considers the edges of a graph or multigraph one by one, assigning each edge the first available color, may sometimes use as many as colors, which may be nearly twice as many number of colors as is necessary.
• For chordal graphs, and for special cases of chordal graphs such as interval graphs and indifference graphs, the greedy coloring algorithm can be used to find optimal colorings in polynomial time, by choosing the vertex ordering to be the reverse of a perfect elimination ordering for the graph.
• The same property is true for a larger class of graphs, the distance-hereditary graphs : distance-hereditary graphs are perfectly orderable, with a perfect ordering given by the reverse of a lexicographic ordering, so lexicographic breadth-first search can be used in conjunction with greedy coloring algorithms to color them optimally in linear time.