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Hypergraph

Tutorials

  • Hypergraph Rewriting

Guides

  • Hypergraph Functionality

Symbols

  • AdjacencyHypergraph
  • AdjacencyTensor
  • CanonicalHypergraph
  • CanonicalHypergraphRule
  • ConnectedHypergraphQ
  • CyclicEdge
  • EdgeListTagged
  • EdgeMultiplicity
  • EdgeSymmetry
  • EnumerateHypergraphRules
  • EnumerateHypergraphs
  • EnumerateOrderedHypergraphs
  • EnumerateWolframModelRules
  • HighlightRule
  • HyperedgeList
  • Hyperedge
  • Hyperedges
  • HyperedgesQ
  • Hypergraph3D
  • HypergraphArityReduce
  • HypergraphDraw
  • HypergraphEmbedding
  • HypergraphHadamardProduct
  • HypergraphIncidenceMatrix
  • HypergraphIncidence
  • HypergraphInsertionBracketDegree
  • HypergraphInsertionBracket
  • HypergraphInsertion
  • HypergraphLargeQ
  • Hypergraph
  • HypergraphQ
  • HypergraphRuleDraw
  • HypergraphRule
  • HypergraphRuleQ
  • HypergraphToGraph
  • HypergraphTransitionMatrix
  • HypergraphUnion
  • HypermatrixGraph
  • Hypermatrix
  • HypermatrixQ
  • IncidenceHypergraph
  • IsomorphicHypergraphQ
  • KoszulSign
  • LinkedHypergraph
  • OrderedHypergraphToGraph
  • RandomAllHypergraph
  • RandomConnectedHypergraph
  • RandomHypergraph
  • RandomHypergraphRule
  • SetHypergraphSummaryThresholds
  • SimpleHypergraph
  • SimpleHypergraphPlot3D
  • SimpleHypergraphPlot
  • SimpleHypergraphQ
  • ToLabeledEdges
  • ToLabeledPatternEdges
  • ToOrderedHypergraph
  • ToPatternRules
WolframInstitute`Hypergraph`
SimpleHypergraphPlot
​
SimpleHypergraphPlot
[hg]
generates a plot of the hypergraph hg.
​
​
SimpleHypergraphPlot
[{
e
1
,
e
2
,…}]
plots the hypergraph with hyperedges
e
i
.
​
Details and Options
▪
SimpleHypergraphPlot
returns a
Graphics
object, or a
Graphics3D
object when the option
"LayoutDimension"
is set to 3.
▪
Hyperedges are drawn according to their arity: an empty hyperedge
{}
as a circle, a unary hyperedge as a disk around its vertex, a binary hyperedge as a line, and a hyperedge with three or more vertices as a filled polygon spanning its vertices.
▪
Vertex positions are computed with an edge-weighted spring embedding unless explicit positions are given with
VertexCoordinates
as a list of rules
v{x,y}
.
▪
Hyperedges whose
"EdgeSymmetry"
is
"Ordered"
,
"Directed"
or
"Cyclic"
are drawn with arrows along their boundary;
"EdgeArrows"True
draws arrows for all hyperedges.
▪
In the list form, every
e
i
must be a plain list of vertices; to plot tagged or annotated hyperedges, construct a
Hypergraph
object first.
▪
SimpleHypergraphPlot
takes the same options as
Hypergraph
, together with all
Graphics
and
Graphics3D
options, which are passed to the resulting graphic.
option
default
effect
PlotTheme
Automatic
overall theme, such as
Automatic
,
"Colored"
or
"Dark"
ColorFunction
ColorData
[97]
function applied to the hyperedge index to determine its color
"EdgeArrows"
False
whether to draw arrows along every hyperedge
"EdgeSymmetry"
Automatic
hyperedge symmetry:
"Unordered"
,
"Cyclic"
or
"Ordered"
"EdgeType"
"Cyclic"
whether the boundary of a hyperedge closes back to its first vertex
"EdgeMethod"
"ConcavePolygon"
method used to construct the polygon of a hyperedge
"EdgeSize"
Automatic
radius used to draw nullary and unary hyperedges
"EdgeLineStyle"
Automatic
style of hyperedge boundary lines and arrows
"LayoutDimension"
2
dimension of the layout, 2 or 3
▪
Styling and labeling options such as
VertexStyle
,
VertexLabels
,
VertexSize
,
VertexShapeFunction
,
EdgeStyle
,
EdgeLabels
,
VertexLabelStyle
and
EdgeLabelStyle
accept a single value applied to all elements, or lists of rules assigning values to individual vertices or hyperedges.
Examples  
(15)
Basic Examples  
(2)
Plot a hypergraph with hyperedges of different arities, including an empty hyperedge:
In[1]:=
SimpleHypergraphPlot
[{{},{1},{1,2},{4},{2,3,4}}]
Out[1]=
​
Plot a
Hypergraph
object:
In[1]:=
SimpleHypergraphPlot

Hypergraph
[{{1,2,3},{3,4,5},{5,6,1}}]
Out[1]=
Scope  
(3)

Options  
(7)

Properties & Relations  
(2)

Neat Examples  
(1)

SeeAlso
SimpleHypergraphPlot3D
 
▪
Hypergraph
 
▪
Hypergraph3D
 
▪
HypergraphEmbedding
 
▪
HypergraphDraw
 
▪
HighlightRule
RelatedGuides
▪
Hypergraph Functionality
""

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