Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

WolframInstitute/Hypergraph

(1.0.0) current version: 1.2.2 »

Hypergraph tools

Contributed by: Nikolay Murzin

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["WolframInstitute/Hypergraph"]

Examples

Basic Examples (5) 

Symmetries:

In[1]:=
h = Hypergraph@{{1}, {1, 2}, {1, 3, 4}}
Out[1]=
In[2]:=
h["Symmetry"]
Out[2]=
In[3]:=
h["EdgeSymmetry"]
Out[3]=

Hypergraph:

In[4]:=
h1 = RandomHypergraph[{10, {{2, 0}, {3, 1}, {5, 2}, {4, 3}}}]
Out[4]=
In[5]:=
h2 = RandomHypergraph[{10, {{2, 0}, {3, 1}, {5, 2}, {4, 3}}}]
Out[5]=
In[6]:=
h1 + h2
Out[6]=
In[7]:=
h1 ** h2 // TraditionalForm
Out[7]=

Hypergraph adjacency tensor:

In[8]:=
hg = CanonicalHypergraph@ RandomHypergraph[{10, {{2, 0}, {3, 1}, {5, 2}, {4, 3}}}]
Out[8]=
In[9]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.0025`], List[FaceForm[List[RGBColor[0.9607843137254902`, 0.5058823529411764`, 0.19607843137254902`], Opacity[1.`]]], FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3]]], List[List[List[205.`, 22.863691329956055`], List[205.`, 212.31669425964355`], List[246.01799774169922`, 235.99870109558105`], List[369.0710144042969`, 307.0436840057373`], List[369.0710144042969`, 117.59068870544434`], List[205.`, 22.863691329956055`]], List[List[30.928985595703125`, 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Out[9]=
In[10]:=
CanonicalHypergraph@InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.0025`], List[FaceForm[List[RGBColor[0.9607843137254902`, 0.5058823529411764`, 0.19607843137254902`], Opacity[1.`]]], FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3]]], List[List[List[205.`, 22.863691329956055`], List[205.`, 212.31669425964355`], List[246.01799774169922`, 235.99870109558105`], List[369.0710144042969`, 307.0436840057373`], List[369.0710144042969`, 117.59068870544434`], List[205.`, 22.863691329956055`]], 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Out[10]=
In[11]:=
IsomorphicHypergraphQ[%, %%%]
Out[11]=

Hypergraph incidence matrix:

In[12]:=
CanonicalHypergraph@ RandomHypergraph[{10, {{2, 0}, {3, 1}, {5, 2}, {4, 3}}}]
Out[12]=
In[13]:=
InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.0025`], List[FaceForm[List[RGBColor[0.9607843137254902`, 0.5058823529411764`, 0.19607843137254902`], Opacity[1.`]]], FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3]]], List[List[List[205.`, 22.863691329956055`], List[205.`, 212.31669425964355`], List[246.01799774169922`, 235.99870109558105`], List[369.0710144042969`, 307.0436840057373`], List[369.0710144042969`, 117.59068870544434`], List[205.`, 22.863691329956055`]], List[List[30.928985595703125`, 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Out[13]=
In[14]:=
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Out[14]=
In[15]:=
IsomorphicHypergraphQ[%, %%%]
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HyperMatrix:

In[16]:=
RandomHypergraph[{10, {{2, 0}, {3, 1}, {5, 2}, {4, 3}}}]
Out[16]=
In[17]:=
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Out[17]=
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Out[18]=
In[19]:=
IsomorphicHypergraphQ[%, %%%]
Out[19]=

Publisher

Wolfram Institute

Disclosures

Compatibility

Wolfram Language Version 13.2

Version History

  • 1.2.2 – 17 August 2025
  • 1.2.1 – 20 April 2025
  • 1.2.0 – 08 January 2025
  • 1.1.9 – 28 October 2024
  • 1.1.8 – 08 October 2024
  • 1.1.7 – 12 July 2024
  • 1.1.6 – 19 June 2024
  • 1.1.5 – 08 February 2024
  • 1.1.4 – 22 January 2024
  • 1.1.3 – 03 January 2024
  • 1.1.2 – 28 December 2023
  • 1.1.1 – 21 December 2023
  • 1.1.0 – 29 September 2023
  • 1.0.7 – 23 September 2023
  • 1.0.6 – 20 June 2023
  • 1.0.4 – 11 May 2023
  • 1.0.3 – 28 April 2023
  • 1.0.2 – 05 April 2023
  • 1.0.1 – 16 March 2023
  • 1.0.0 – 15 March 2023

License Information

MIT License

Paclet Source

Source Metadata

  • Source: https://github.com/WolframInstitute/Hypergraph

See Also