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BGL:在无向图中获取边的初始方向

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在无向BGL图中:我是否可以获得边缘(u,v)==(v,u)最初是作为(u,v)还是作为(v,u)添加的信息?

背景:
我使用Pythons图形工具库创建了一个图形,它在内部使用Boost Graph Library(BGL) . 每条边都有"directed attribute"指向边的源和目标: (source_range, target_range) .

我想执行无向深度优先搜索以查找两个节点之间的所有路径 . 我'm using graph-tools get_all_paths() as a basis. I altered the underlying BGL implementation in a way that traversal of the graph depends on the 2644342 . I got it working for the directed case. However when I switch the graph to undirected I have the problem that I don'知道边缘的初始方向 . 因此我不知道edge属性的顺序:

(source_range, target_range) vs (target_range, source_range)

这是我的DFS代码,其中提到了停止标准( // Check overlap part):

template <class Graph, class Yield, class VMap, class EMap>
void get_all_paths(size_t s, size_t t, size_t cutoff, VMap visited,
                   EMap startend, Yield& yield, Graph& g)
{
    typedef typename graph_traits<Graph>::out_edge_iterator eiter_t;
    typedef std::pair<eiter_t, eiter_t> item_t;
    visited[s] = true; // set visited true for source node
    // could also use refrences to startend property map here. meh... 
    uint8_t t_start_e1, t_end_e1, q_start_e1, q_end_e1;
    uint8_t q_start_e2, q_end_e2, t_start_e2, t_end_e2;
    int32_t startend_e1;
    int32_t startend_e2;
    typedef typename property_map<Graph, vertex_index_t>::type IndexMap;
    IndexMap index = get(vertex_index, g);

    vector<size_t> vs = {s}; // vector of indexes
    vector<item_t> stack = {out_edges(s, g)};  // vector of edge_iterator pairs
    while (!stack.empty())
    {
        std::cout << "Stack before check overlap: ";
        for (uint8_t i=0; i<stack.size(); i++) {
            std::cout << " (" << source(*stack[i].first, g) << "," << target(*stack[i].first, g) << ") ";
        }
        std::cout << "\n";
        auto& pos = stack.back(); // last element in eiter vector

        // End of path because of self loop or cutoff is reached
        if (pos.first == pos.second || stack.size() > cutoff)
        {
            visited[vs.back()] = false; // revoke visited flag for last node
            vs.pop_back();
            stack.pop_back();
            if (!stack.empty()) 
                ++stack.back().first; // increment first iterator
            continue;
        }

        // Check overlap
        if (stack.size() > 1)
        {

            auto& pos_prev = *(stack.rbegin() + 1); // second last eiter
            startend_e1 = startend[*pos_prev.first];
            startend_e2 = startend[*pos.first];

            std::cout << "Checking Edges: (" << source(*pos_prev.first, g) << "," << target(*pos_prev.first, g) << ")";
            std::cout << " (" << source(*pos.first, g) << "," << target(*pos.first, g) << "):";

            // take apart 2x int32_t to 8x int8_t (memory optimization)
            // Undirected case:If the edge was added 
            // as (u,v) and (v,u) was detected
            // I need to swap q(uery) and t(arget) values here.
            // --> How can I detect if (u,v) was initially added as (u,v)
            // or (v, u)
            q_start_e1 = startend_e1 & 0xFF;
            q_end_e1 = (startend_e1 >> 8) & 0xFF;
            t_start_e1 = (startend_e1 >> 16) & 0xFF;
            t_end_e1 = (startend_e1 >> 24) & 0xFF;

            q_start_e2 = startend_e2 & 0xFF;
            q_end_e2 = (startend_e2 >> 8) & 0xFF;
            t_start_e2 = (startend_e2 >> 16) & 0xFF;
            t_end_e2 = (startend_e2 >> 24) & 0xFF;

            if ((min(t_end_e1, q_end_e2) - max(t_start_e1, q_start_e2)) < 1)
            {
                std::cout << "Failed\n";
                ++pos.first;
                std::cout << "Stack after check overlap: ";
                for (uint8_t i=0; i<stack.size(); i++) {
                    std::cout << "(" << source(*stack[i].first, g) << "," << target(*stack[i].first, g) << ") ";
                }
                std::cout << "\n";
                continue;
            }  

            std::cout << "Passed\n";


        }

        auto v = target(*pos.first, g); // get target vertex 

        // reached target node
        if (v == t)
        {
            vector<size_t> path = {s}; // path vector 
            for (auto& ei : stack)
                path.push_back(target(*ei.first, g));

            yield(wrap_vector_owned<size_t>(path)); // yield path

            ++pos.first; // increment eiter 
        }
        else
        {
            //check if node was visited
            if (!visited[v]) //not visited
            {
                visited[v] = true;
                vs.push_back(v);
                stack.push_back(out_edges(v, g));
            }
            else // visited
            {
                ++pos.first;
            }
        }
    }
};

谢谢您的帮助!

更新:
我为我的问题提出了以下解决方法 . 我有一个边缘 (some_val_ref_u, some_val_ref_v) 的边缘属性 (some_val_ref_u, some_val_ref_v) . 在无向图中,边 (v,u) 仍将具有边属性 (some_val_ref_u, some_val_ref_v) . 因此,我将 some_val_ref_u 分配给 vsome_val_ref_vu ,这是不正确的 . 在处理"reverse edge"时,我必须考虑订单 . 我想出的解决方案是在创建图表时动态设置顺序,具体取决于 vu 的边缘索引 .

if edge_index[v] < edge_index[u]:
       g.ep.myattr[g.edge(v,u)] = (some_val_ref_v, some_val_ref_u)
   else:
       g.ep.myattr[g.edge(v,u)] = (some_val_ref_u, some_val_ref_v)

所以edge属性元组的顺序取决于哪个边缘索引更小 . 因此,当遍历图形时,我可以通过比较顶点索引来确定边缘属性的顺序 .
这并没有直接回答我的问题,但希望能解决我的问题 .

2 回答

  • 0

    你可以简单地迭代:

    for (auto ed : boost::make_iterator_range(edges(g))) {
        std::cout << "Added as " << ed << " (so " << source(ed, g) << "->" << target(ed, g) << ")\n";
    }
    

    这是由于邻接列表存储了每个节点的邻接列表 .

    对于有向图,这个循环实际上等同于:for(auto from:boost :: make_iterator_range(vertices(g))){
    for(auto to:boost :: make_iterator_range(adjacent_vertices(from,g)))
    std :: cout <<“添加为”<< from <<“ - >”<< to <<“\ n”;
    }
    但是,对于无向图,这将列出所有非自身边复制 .

    Live On Coliru

    #include <boost/graph/adjacency_list.hpp>
    #include <boost/graph/graph_utility.hpp>
    #include <iostream>
    
    void testcase(int from, int to) {
        using namespace boost;
        adjacency_list<vecS, vecS, undirectedS> g(2);
        add_edge(from, to, g);
    
        for (auto ed : boost::make_iterator_range(edges(g))) {
            std::cout << "Added as " << ed << " (so " << source(ed, g) << "->" << target(ed, g) << ")\n";
        }
    }
    
    int main() {
        testcase(0, 1);
        testcase(1, 0);
    }
    

    打印

    Added as (0,1) (so 0->1)
    Added as (1,0) (so 1->0)
    
  • 0

    sehe的答案是错误的 - 无法从 any 边缘描述符获取原始源和目标顶点,如下所示:

    #include <iostream>
    #include <boost/graph/adjacency_list.hpp>
    #include <boost/graph/graph_utility.hpp>
    
    int main() {
        using namespace boost;
        typedef adjacency_list<vecS, vecS, undirectedS> Graph;
        Graph g(2);
        add_edge(0, 1, g);
    
        for (auto ed : make_iterator_range(edges(g))) {
            std::cout << "Added as " << ed << " (so " << source(ed, g) << "->" << target(ed, g) << ")\n";
        }
    
        //edge (1,0) exists since the graph is undirected,
        //yet source and target vertices are not the way they were originally specified
        Graph::edge_descriptor ed = edge(1, 0, g).first;
        std::cout << ed << " (so " << source(ed, g) << "->" << target(ed, g) << ')';
    }
    

    如上所述,一种解决方案是迭代所有边缘 .

    另一个更高效的是在顶点u的外边缘(或相反的方向)寻找顶点v:

    #include <iostream>
    #include <cassert>
    #include <boost/graph/adjacency_list.hpp>
    #include <boost/graph/graph_utility.hpp>
    
    int main() {
        using namespace boost;
        typedef adjacency_list<vecS, vecS, undirectedS> Graph;
        Graph g(2);
        add_edge(0, 1, g);
    
        Graph::EdgeContainer::const_iterator edge1 = std::find(g.out_edge_list(0).begin(), g.out_edge_list(0).end(), Graph::StoredEdge(1))->get_iter();
        Graph::EdgeContainer::const_iterator edge2 = std::find(g.out_edge_list(1).begin(), g.out_edge_list(1).end(), Graph::StoredEdge(0))->get_iter();
    
        assert(edge1 == edge2);
    
        std::cout << source(*edge1, g) << "->" << target(*edge1, g);
    }
    

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