#include #include #include #include #include #include #include "graph.hpp" #include "exports.hpp" // Its assumed that u,v are distinct. // Check if all four vertices are distinct bool edgeConflicts(const Edge &e1, const Edge &e2) { return (e1.u == e2.u || e1.u == e2.v || e1.v == e2.u || e1.v == e2.v); } class SwitchChain { public: SwitchChain() : mt(std::random_device{}()), permutationDistribution(0, 2) { // random_device uses hardware entropy if available // std::random_device rd; // mt.seed(rd()); } ~SwitchChain() {} bool initialize(const Graph &gstart) { if (gstart.edgeCount() == 0) return false; g = gstart; edgeDistribution.param( std::uniform_int_distribution<>::param_type(0, g.edgeCount() - 1)); return true; } bool doMove() { Edge e1 = g.getEdge(edgeDistribution(mt)); Edge e2 = g.getEdge(edgeDistribution(mt)); // Keep regenerating while conflicting edges int timeout = 0; while (edgeConflicts(e1, e2)) { e1 = g.getEdge(edgeDistribution(mt)); e2 = g.getEdge(edgeDistribution(mt)); ++timeout; if (timeout % 100 == 0) { std::cerr << "Warning: sampled " << timeout << " random edges but they keep conflicting.\n"; } } // Consider one of the three possible permutations // 1) e1.u - e1.v and e2.u - e2.v (original) // 2) e1.u - e2.u and e1.v - e2.v // 3) e1.u - e2.v and e1.v - e2.u // Note that it might be that these new edges already exist // in which case we also reject the move // This is checked in exchangeEdges int perm = permutationDistribution(mt); if (perm == 0) // Original permutation return false; return g.exchangeEdges(e1, e2, perm == 1); } Graph g; std::mt19937 mt; std::uniform_int_distribution<> edgeDistribution; std::uniform_int_distribution<> permutationDistribution; }; int main() { Graph g; // Generate a random degree sequence std::mt19937 gen(std::random_device{}()); // 50 nodes with average degree 12 DegreeSequence ds(50); std::poisson_distribution<> degDist(7); // Try at most 10 times to generate a valid sequence bool validGraph = false; for (int i = 0; i < 10; ++i) { std::generate(ds.begin(), ds.end(), [°Dist, &gen] { return degDist(gen); }); if (g.createFromDegreeSequence(ds)) { validGraph = true; break; } } if (!validGraph) { std::cerr << "Could not create graph from degree sequence.\n"; return 1; } std::sort(ds.begin(), ds.end()); std::cout << "Degree sequence:"; for (auto i : ds) std::cout << ' ' << i; std::cout << std::endl; SwitchChain chain; if (!chain.initialize(g)) { std::cerr << "Could not initialize Markov chain.\n"; return 1; } std::ofstream outfile("graphdata.m"); outfile << '{'; outfile << '{' << g; std::cout << "Starting switch Markov chain" << std::endl; int movesDone = 0; constexpr int movesTotal = 10000; int triangles[movesTotal]; for (int i = 0; i < movesTotal; ++i) { if (chain.doMove()) ++movesDone; triangles[i] = chain.g.countTriangles(); if (i % (movesTotal / 50) == (movesTotal / 50 - 1)) outfile << ',' << chain.g; } outfile << '}' << ',' << '{' << triangles[0]; for (int i = 1; i < movesTotal; ++i) outfile << ',' << triangles[i]; outfile << '}' << '}'; std::cout << movesDone << '/' << movesTotal << " moves succeeded." << std::endl; return 0; }