diff --git a/cpp/switchchain_canonical_properties.cpp b/cpp/switchchain_canonical_properties.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d58097b4b869d31eb64dcaee078f62557297f1d6
--- /dev/null
+++ b/cpp/switchchain_canonical_properties.cpp
@@ -0,0 +1,183 @@
+#include "exports.hpp"
+#include "graph.hpp"
+#include "graph_powerlaw.hpp"
+#include "graph_spectrum.hpp"
+#include "switchchain.hpp"
+#include <algorithm>
+#include <fstream>
+#include <iostream>
+#include <numeric>
+#include <random>
+#include <vector>
+
+double getDSTN(const DegreeSequence& ds) {
+    std::vector<std::vector<double>> vals(ds.size());
+    for (auto& v : vals) {
+        v.resize(ds.size(), 0);
+    }
+
+    auto D = 0u;
+    for (auto d : ds)
+        D += d;
+
+    double factor = 1.0 / double(D);
+
+    for (auto i = 0u; i < ds.size(); ++i) {
+        for (auto j = i + 1; j < ds.size(); ++j) {
+            vals[i][j] = 1.0 - std::exp(-(ds[i] * ds[j] * factor));
+        }
+    }
+
+    double result = 0.0;
+    for (auto i = 0u; i < ds.size(); ++i) {
+        for (auto j = i + 1; j < ds.size(); ++j) {
+            for (auto k = j + 1; k < ds.size(); ++k) {
+                result += vals[i][j] * vals[j][k] * vals[i][k];
+            }
+        }
+    }
+    return result;
+}
+
+int main(int argc, char* argv[]) {
+    // Simulation parameters
+    const int numVerticesMin = 1000;
+    const int numVerticesMax = 10000;
+    const int numVerticesStep = 1000;
+
+    float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f};
+
+    //const int totalDegreeSamples = 5000;
+
+    auto getMixingTime = [](int n, float tau) {
+        return int(50.0f * (50.0f - 30.0f * (tau - 2.0f)) * n);
+    };
+    constexpr int measurements = 10;
+    constexpr int measureSkip = 1000; // Take a sample every ... steps
+
+    // Output file
+    std::ofstream outfile;
+    if (argc >= 2)
+        outfile.open(argv[1]);
+    else
+        outfile.open("graphdata_canonical_properties.m");
+    if (!outfile.is_open()) {
+        std::cout << "ERROR: Could not open output file.\n";
+        return 1;
+    }
+
+    // Output Mathematica-style comment to indicate file contents
+    outfile << "(*\n";
+    outfile << "n from " << numVerticesMin << " to " << numVerticesMax
+            << " step " << numVerticesStep << std::endl;
+    outfile << "tauValues: " << tauValues << std::endl;
+    outfile << "Canonical degree sequence.\n";
+    outfile << "mixingTime: 50 * (50 - 30 (tau - 2)) n\n";
+    outfile << "data:\n";
+    outfile << "1: {n,tau}\n";
+    outfile << "2: avgTriangles\n";
+    outfile << "3: edges\n";
+    outfile << "4: dstn\n";
+    outfile << "5: { HH A, HH L, average A, average L }  where for each there is (average of) {lambda1 , lambda1 - lambda2, lambda1/lambda2}\n";
+    outfile << "6: switching successrate after mixing\n";
+    outfile << "7: initial HH triangles\n";
+    outfile << "*)" << std::endl;
+
+    // Mathematica does not accept normal scientific notation
+    outfile << std::fixed;
+    outfile << '{';
+    bool outputComma = false;
+
+    Graph g;
+    for (int numVertices = numVerticesMin; numVertices <= numVerticesMax;
+         numVertices += numVerticesStep) {
+        for (float tau : tauValues) {
+            DegreeSequence ds;
+            generateCanonicalPowerlawGraph(numVertices, tau, g, ds);
+
+            SwitchChain chain;
+            if (!chain.initialize(g)) {
+                std::cerr << "Could not initialize Markov chain.\n";
+                return 1;
+            }
+
+            std::cout << "Running (n,tau) = (" << numVertices << ',' << tau
+                      << "). " << std::flush;
+
+            // Mix
+            int mixingTime = getMixingTime(numVertices, tau);
+            for (int i = 0; i < mixingTime; ++i) {
+                chain.doMove();
+            }
+
+            std::cout << "Mixing done. " << std::flush;
+
+            std::array<double, 3> HHAspectrum;
+            std::array<double, 3> HHLspectrum;
+            std::array<double, 3> avgAspectrum;
+            std::array<double, 3> avgLspectrum;
+
+            auto getSpectralValues =
+                [](const std::vector<float> &s) -> std::array<double, 3> {
+                auto l1 = s[s.size() - 1];
+                auto l2 = s[s.size() - 2];
+                return {l1, l1 - l2, l1 / l2};
+            };
+
+            GraphSpectrum gs_start(g);
+            GraphSpectrum gs(chain.g);
+
+            HHAspectrum =
+                getSpectralValues(gs_start.computeAdjacencySpectrum());
+            HHLspectrum =
+                getSpectralValues(gs_start.computeLaplacianSpectrum());
+
+            long long trianglesTotal = 0;
+            int movesDone = 0;
+            avgAspectrum.fill(0);
+            avgLspectrum.fill(0);
+            for (int i = 0; i < measurements; ++i) {
+                for (int j = 0; j < measureSkip; ++j)
+                    if (chain.doMove())
+                        ++movesDone;
+                trianglesTotal += chain.g.countTriangles();
+                auto sA = getSpectralValues(gs.computeAdjacencySpectrum());
+                auto sL = getSpectralValues(gs.computeLaplacianSpectrum());
+                for (auto i = 0u; i < 3; ++i) {
+                    avgAspectrum[i] += sA[i];
+                    avgLspectrum[i] += sL[i];
+                }
+            }
+            float avgTriangles = float(trianglesTotal) / float(measurements);
+            float successrate =
+                float(movesDone) / float(measurements * measureSkip);
+            for (auto &f : avgAspectrum)
+                f /= float(measurements);
+            for (auto &f : avgLspectrum)
+                f /= float(measurements);
+
+            std::cout << "Measuring done." << std::flush;
+
+            if (outputComma)
+                outfile << ',' << '\n';
+            outputComma = true;
+
+            outfile << '{' << '{' << numVertices << ',' << tau << '}';
+            outfile << ',' << avgTriangles;
+            outfile << ',' << g.edgeCount();
+            outfile << ',' << getDSTN(ds);
+            outfile << ',' << '{' << HHAspectrum;
+            outfile << ',' << HHLspectrum;
+            outfile << ',' << avgAspectrum;
+            outfile << ',' << avgLspectrum;
+            outfile << '}';
+            outfile << ',' << successrate;
+            outfile << ',' << g.countTriangles();
+            outfile << '}' << std::flush;
+
+            std::cout << "Output done." << std::endl;
+        }
+    }
+    outfile << '}';
+    return 0;
+}