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Wolfram Models & Analysis
Wolfram models are a general class of systems involving rewriting of hypergraphs. They are the fundamental models used as the basis for the
Wolfram Physics Project
.
Basic Model Implementation
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WolframModel
— Wolfram model evolution, causal graphs, etc.
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WolframModelEvolutionObject
— symbolic representation of Wolfram model evolution
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WolframModelPlot
— visualization of Wolfram model hypergraphs
Multiway Evolution
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MultiwaySystem
— multiway Wolfram model evolution
Rule Structure & Enumeration
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WolframModelData
— data on Wolfram models in the
Registry of Notable Universes
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CanonicalWolframModelRule
— find a canonical form for a Wolfram model
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EnumerateWolframModelRules
— enumerate possible rules with a given signature
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EnumerateRuleSignatures
— enumerate possible signatures with given total elements
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RandomWolframModel
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ConnectedWolframModelQ
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CausalInvariantQ
Rule Display & Formatting
RulePlot
— give a visual representation of a Wolfram model rule
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WolframModelRuleForm
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WolframModelSignatureForm
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WolframModelTraditionalForm
Hypergraph Generation
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EnumerateHypergraphs
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RandomHypergraph
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CanonicalHypergraph
— convert a hypergraph to canonical form
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BranchialHypergraph
Hypergraph Properties
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ConnectedHypergraphQ
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HypergraphAdjacencyMatrix
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HypergraphNeighborhoods
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HypergraphNeighborhoodVolumes
Hypergraph Isomorphism
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IsomorphicOrderedHypergraphQ
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FindOrderedHypergraphIsomorphism
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IsomorphicHypergraphQ
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FindHypergraphIsomorphism
Conversion to Graphs
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HypergraphToGraph
— convert to an ordinary graph by turning hyperedges into subgraphs
Low-Level Update Operations
SubsetReplace
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SubsetCases
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SubsetPosition
Graph Properties »
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GraphNeighborhoodVolumes
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NeighborhoodGraph
FindShortestPath
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FindLongestPath
VertexCount
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GraphDiameter
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GraphAntipodes
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GraphMinors
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...
Graph Visualization »
GraphPlot
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GraphPlot3D
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LayeredGraphPlot
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LayeredGraphPlot3D
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DistanceLayeredGraph
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Graph3D
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GraphReconstructedSurface
— render a graph in 3D with an approximate surface
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GraphFunctionPlot
— visualize a function on a graph
Ordered Trivalent Graph Models
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OrderedGraphModelPlot
— visualize ordered trivalent graphs
Graph Generation
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TorusGraph
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GeneralizedGridGraph
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HexagonalGridGraph
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HexagonalTorusGraph
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BuckyballGraph
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GeodesicSphereGraph
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RegularHyperbolicTilingGraph
MeshConnectivityGraph
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GraphicsMetricGraph
Causal Graph Generation
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CurvedSpacetimeRegionSprinkling
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CurvedSpacetimeSprinkling
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FlatSpacetimeSprinkling
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CausalConnectionGraph
— summarize future overlaps in a causal graph
Spatial Graph Generation
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ExtrinsicCurvedManifoldToGraph
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IntrinsicCurvedManifoldToGraph
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FlatManifoldToGraph
RelatedGuides
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Graph Theory
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Graph Visualization
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Wolfram Physics Project Functions
RelatedLinks
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Wolfram Physics Project Home Page
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Hands-On Introduction to the Wolfram Physics Project
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Wolfram Physics Project: Technical Introduction