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社区首页 >问答首页 >Boost图形库-找不到adjacent_vertices函数

Boost图形库-找不到adjacent_vertices函数
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Stack Overflow用户
提问于 2015-05-26 14:31:52
回答 1查看 985关注 0票数 3

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:

代码语言:javascript
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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:

代码语言:javascript
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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:

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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?

EN

回答 1

Stack Overflow用户

回答已采纳

发布于 2015-05-26 15:56:41

两个问题:

  1. 第一个参数需要是一个顶点描述符,而不是属性包。变化 boost::adjacent_vertices(g*vp.first,g)进入 boost::adjacent_vertices(*vp.first,g)
  2. 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.firstvp.second相比,使用单独的迭代器更容易(使用boost::tie同时分配两者)
  • 在比较中,您有一个“有毒”的无符号值,显式地将它写为 如果(it->second> static_cast(colour_number)) 或者查看映射中可能存在的-1值的逻辑。
  • 将彩色地图按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。
  • 显然,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:

论Coliru

代码语言:javascript
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#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() { }
票数 3
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页面原文内容由Stack Overflow提供。腾讯云小微IT领域专用引擎提供翻译支持
原文链接:

https://stackoverflow.com/questions/30461504

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