我试图写一个算法来(贪婪地)找到一个图的色数。为此,我需要能够查询给定顶点的相邻顶点。我的职能如下:
int Network::greedy_colouring() {
// create an undirected graph with the vertices and edges of the first one
UndirectedGraph g;
copy_graph(network, g);
int vertices_amount = num_vertices(g);
// Assign the first color to first vertex
std::map<std::string, int> vertex_colouring;
vertex_pair_iterators vp = vertices(g);
vertex_colouring[g[*vp.first].name] = 0;
++vp.first; // start from second vertex
for (; vp.first != vp.second; ++vp.first)
vertex_colouring[g[*vp.first].name] = -1;
// A temporary array to store the available colors. True
// value of available[cr] would mean that the color cr is
// assigned to one of its adjacent vertices
bool available[vertices_amount];
for (int cr = 0; cr < vertices_amount; cr++)
available[cr] = false;
// Assign colors to remaining V-1 vertices
vp = vertices(g); // reset to beginning
++vp.first; // start from second vertex
for (; vp.first != vp.second; ++vp.first) {
// Process all adjacent vertices and flag their colors
// as unavailable
for (std::pair<adjacency_it, adjacency_it> neighbours = boost::adjacent_vertices(g[*vp.first], g);
neighbours.first != neighbours.second; ++neighbours.first)
if (vertex_colouring[g[*neighbours.first].name] != -1)
available[vertex_colouring[g[*neighbours.first].name]] = true;
// Find the first available color
int cr;
for (cr = 0; cr < vertices_amount; cr++)
if (available[cr] == false)
break;
vertex_colouring[g[*vp.first].name] = cr; // Assign the found color
// Reset the values back to false for the next iteration
neighbours = boost::adjacent_vertices(g[*vp.first], g); // reset to beginning
for (; neighbours.first != neighbours.second; ++neighbours.first)
if (vertex_colouring[g[*neighbours.first].name] != -1)
available[vertex_colouring[g[*neighbours.first].name]] = false;
}
// print the result and find colour number
unsigned colour_number = 0;
for (std::map<std::string, int>::iterator it = vertex_colouring.begin(); it != vertex_colouring.end(); ++it) {
std::cout << "Vertex " << it->first << " ---> Color " << it->second << std::endl;
if (it->second > colour_number)
colour_number = it->second;
}
return colour_number;
}我得到的错误与调用:
std::pair<adjacency_it, adjacency_it> neighbours = boost::adjacent_vertices(g[*vp.first],g)它提供以下编译错误:"error:调用‘boost::adjacency_iterator.’没有匹配函数.“(部分副本)。注释掉与函数邻接相关的代码可以让它编译,所以我确信这就是问题代码。函数中使用的一些类型:
typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::bidirectionalS, Vertex, Edge > Graph;
typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::undirectedS, Vertex, Edge > UndirectedGraph;
typedef std::pair<Vertex ,Vertex > vert_p;
typedef boost::graph_traits<Graph>::vertex_descriptor vertex_t;
typedef std::pair<boost::graph_traits<Graph>::edge_descriptor, bool> edge_t;
typedef boost::graph_traits<Graph>::in_edge_iterator in_edge_it;
typedef boost::graph_traits<Graph>::vertex_iterator vertex_iter;
typedef boost::graph_traits<Graph>::edge_iterator edge_iter;
typedef boost::property_map<Graph, boost::vertex_index_t>::type IndexMap;
typedef std::pair<vertex_iter, vertex_iter> vertex_pair_iterators;
typedef std::pair<in_edge_it, in_edge_it> edge_pair_iterators;
typedef boost::graph_traits<Graph>::adjacency_iterator adjacency_it;有人能告诉我我做错了什么吗?
发布于 2015-05-26 15:56:41
两个问题:
std::pair。但是,您将adjacency_iterator定义为
胡枝子属植物boost::graph_traits::adjacency_iterator adjacency_it;
当需要的时候
胡枝子属植物boost::graph_traits::adjacency_iterator adjacency_it;进一步说明:
vp.first和vp.second相比,使用单独的迭代器更容易(使用boost::tie同时分配两者)-1值的逻辑。Vertex::name (这是一个字符串)索引可能是非常低效的。您应该考虑使用vertex_descriptor进行索引。
现在,由于顶点模型使用vecS作为VertexContainer,所以实际上可以使用以下事实:这个描述符是范围[0, num_vertices(g))中的一个整体索引。
因此,您可以将map<> (内存局部性差)替换为vector<int> (其中顶点描述符是向量索引)。
如果希望支持其他图形模型,则可以让调用方传入一个IndexMap,该将顶点描述符映射到类似的连续索引。BGL中的许多算法都使用这种方法。bool[]可以是std::bitset,甚至是std::vector<bool>。Boost有可能是最好的dynamic_bitset在这里。
(我需要更好地理解你的算法。也许一套“采取”的颜色会更好。并作为一个未排序的连续集合来实现速度,除非您预期颜色的数量会变得足够大,这样排序/散列查找就会更快(?!)。始终使代码自成体系:
活论Coliru
#include <boost/graph/adjacency_list.hpp>
#include <boost/graph/copy.hpp>
#include <iostream>
struct Vertex {
std::string name;
};
struct Edge {
};
typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::bidirectionalS, Vertex, Edge > Graph;
typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::undirectedS, Vertex, Edge > UndirectedGraph;
Graph network;
int greedy_colouring() {
using namespace boost;
typedef boost::graph_traits<UndirectedGraph>::vertex_descriptor vertex_descriptor;
static_assert(is_integral<vertex_descriptor>::value, "IndexMap not provided yet TODO");
typedef boost::graph_traits<UndirectedGraph>::vertex_iterator vertex_iter;
typedef boost::graph_traits<UndirectedGraph>::adjacency_iterator adjacency_it;
// create an undirected graph with the vertices and edges of the first one
UndirectedGraph g;
copy_graph(network, g);
vertex_iter vit, vend;
tie(vit, vend) = vertices(g);
size_t const vertices_amount = num_vertices(g);
std::vector<int> vertex_colouring(vertices_amount, -1);
vertex_colouring[*vit] = 0; // Assign the first color to first vertex
// A temporary array to store the available colors.
// - available[cr]: assigned to one of its adjacent vertices
std::vector<bool> available(vertices_amount, false);
for (++vit; vit!=vend; ++vit)
{
// Process all adjacent vertices and flag their colors as unavailable
adjacency_it neighbour, neighbour_end;
for (tie(neighbour, neighbour_end) = adjacent_vertices(*vit, g); neighbour != neighbour_end; ++neighbour)
if (vertex_colouring[*neighbour] != -1)
available[vertex_colouring[*neighbour]] = true;
// Find the first available color
vertex_colouring[*vit] = distance(available.begin(), std::find(available.begin(), available.end(), false));
// Reset the values back to false for the next iteration
for (tie(neighbour, neighbour_end) = adjacent_vertices(*vit, g); neighbour != neighbour_end; ++neighbour)
if (vertex_colouring[*neighbour] != -1)
available[vertex_colouring[*neighbour]] = false;
}
// print the result and find colour number
for (vertex_descriptor v = 0; v < vertices_amount; ++v)
std::cout << "Vertex " << v << " ---> Color " << vertex_colouring[v] << std::endl;
return *std::max_element(vertex_colouring.begin(), vertex_colouring.end());
}
int main() { }https://stackoverflow.com/questions/30461504
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