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  "Title": "Utility Functions of the Potts Models",
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  "Description": "There are three sets of functions. The first produces\nbasic properties of a graph and generates samples from\nmultinomial distributions to facilitate the simulation\nfunctions (they maybe used for other purposes as well). The\nsecond provides various simulation functions for a Potts model\nin Potts, R. B. (1952) <doi:10.1017/S0305004100027419>. The\nthird currently includes only one function which computes the\nnormalizing constant of a Potts model based on simulation\nresults.",
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    {
      "page": "BlocksGibbs",
      "title": "Generate Random Samples from a Potts Model Using the Checkerboard Idea",
      "topics": [
        "BlocksGibbs"
      ]
    },
    {
      "page": "getBlocks",
      "title": "Get Blocks of a Graph",
      "topics": [
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      "title": "Generate Configurations of a Graph",
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      "page": "getEdges",
      "title": "Get Edges of a Graph",
      "topics": [
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    },
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      "page": "getNC",
      "title": "Calculate the Normalizing Constant of a Simple Potts Model",
      "topics": [
        "getNC"
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    },
    {
      "page": "getNeighbors",
      "title": "Get Neighbors of All Vertices of a Graph",
      "topics": [
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      "page": "getPatches",
      "title": "Get Patches of a Graph",
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      "title": "Get All Weights of a Graph",
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      "title": "Generate One Random Sample from a Potts Model",
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      "page": "SW",
      "title": "Generate Random Samples from a Compound Potts Model by the Swendsen-Wang Algorithm",
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    {
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      "title": "Generate Random Samples from a Compound Potts Model by the Wolff Algorithm",
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      "title": "Using the PottsUtils Package",
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        "Notation and Terminology",
        "Simulation of the Potts Models",
        "Calculation of the Normalizing Constant",
        "Computational Issues",
        "Future Work"
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