Vertices - Maple Help
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Hypergraphs

  

Vertices

  

Return the vertices of an hypergraph

 

Calling Sequence

Parameters

Description

Examples

References

Compatibility

Calling Sequence

Vertices(H)

Parameters

H

-

Hypergraph

Description

• 

The command Vertices(H) returns a list of the vertices of H.

Terminology

• 

Hypergraph : mathematically, a hypergraph is a pair (X, Y) where X  is a finite set and Y is a set of non-empty subsets of X.

• 

Vertices : the members of X are called the vertices of the hypergraph (X, Y).

• 

Hyperedges : the members of Y are called the hyperedges (or simply edges) of  the hypergraph (X, Y).

Examples

Create a hypergraph from its vertices and edges.

(1)

Print its vertices and edges.

(2)

Draw a graphical representation of this hypergraph.

Create another hypergraph from its edges.

(3)

Print its vertices and edges.

(4)

Draw a graphical representation of this hypergraph.

Create a third hypergraph from its vertices and bit vector encodings of its edges.

(5)

Print its vertices and edges.

(6)

Draw a graphical representation of this hypergraph.

References

  

Claude Berge. Hypergraphes. Combinatoires des ensembles finis. 1987,  Paris, Gauthier-Villars, translated to English.

  

Claude Berge. Hypergraphs. Combinatorics of Finite Sets.  1989, Amsterdam, North-Holland Mathematical Library, Elsevier, translated from French.

  

Charles Leiserson, Liyun Li, Marc Moreno Maza and Yuzhen Xie " Parallel computation of the minimal elements of a poset." Proceedings of the 4th International Workshop on Parallel Symbolic Computation (PASCO) 2010: 53-62, ACM.

Compatibility

• 

The Hypergraphs[Vertices] command was introduced in Maple 2024.

• 

For more information on Maple 2024 changes, see Updates in Maple 2024.

See Also

Hypergraphs[AddHyperedges]

Hypergraphs[AddVertices]

Hypergraphs[DualHypergraph]

Hypergraphs[Hyperedges]

Hypergraphs[Hypergraph]

Hypergraphs[IsEdge]

Hypergraphs[NumberOfHyperedges]

Hypergraphs[NumberOfVertices]

Hypergraphs[PartialHypergraph]

Hypergraphs[SubHypergraph]

Hypergraphs[VertexEdgeIncidenceGraph]

Hypergraphs[Vertices]

 


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