Algorithm 图着色算法的实现
我开始知道图形着色算法是NP完全问题。尽管如此,我还是想知道是否可以使用启发式方法实现,特别是区分图着色?如果可能的话,是否有合适的资源来了解这一点?如以下章节所述: 像这样的约束求解器能够解决广泛的图形着色问题 此示例演示了以下各项的着色:Algorithm 图着色算法的实现,algorithm,graph,graph-coloring,Algorithm,Graph,Graph Coloring,我开始知道图形着色算法是NP完全问题。尽管如此,我还是想知道是否可以使用启发式方法实现,特别是区分图着色?如果可能的话,是否有合适的资源来了解这一点?如以下章节所述: 像这样的约束求解器能够解决广泛的图形着色问题 此示例演示了以下各项的着色: % Petersen Graph set of int: Colors = 1..3; set of int: Nodes = 1..10; set of int: Edges = 1..15; array[Edges] of Nodes: aFrom
% Petersen Graph
set of int: Colors = 1..3;
set of int: Nodes = 1..10;
set of int: Edges = 1..15;
array[Edges] of Nodes: aFrom = [ 1, 2, 3, 4, 1, 1, 2, 3, 4, 5, 6, 7, 7, 8, 6 ];
array[Edges] of Nodes: aTo = [ 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 8, 10, 9, 10, 9 ];
array[int] of string: colorName = [ "red", "green", "blue", "purple", "yellow", "brown", "black" ];
array[Nodes] of var Colors: nodeColor;
constraint
forall(e in Edges) (
nodeColor[aFrom[e]] != nodeColor[aTo[e]]
);
solve satisfy;
output [ show(colorName[nodeColor[n]]) ++ "\n" | n in Nodes ];