EdgeAdd

EdgeAdd[g,e]

makes a graph by adding the edge e to the graph g.

EdgeAdd[g,{e1,e2,…}]

adds a collection of edges to g.

EdgeAdd[{vw,…},…]

uses rules vw to specify the graph g.

Details and Options

  • EdgeAdd is also known as edge insertion or edge creation.
  • EdgeAdd[g,e] will add the edge e and create a multiple edge if the edge already exists in g.
  • An undirected edge can be specified using vw or UndirectedEdge[v,w].
  • A directed edge can be specified using vw or DirectedEdge[v,w].
  • EdgeAdd works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

open allclose all

Basic Examples  (1)

Add an edge to a graph:

Scope  (7)

EdgeAdd works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Add a set of edges to the graph:

Use rules to specify the graph:

EdgeAdd works with large graphs:

Applications  (1)

Perform vertex cleaving:

Duplicating a vertex, ensuring that the new vertex is adjacent to the same vertices as the original:

Wolfram Research (2010), EdgeAdd, Wolfram Language function, https://reference.wolfram.com/language/ref/EdgeAdd.html (updated 2015).

Text

Wolfram Research (2010), EdgeAdd, Wolfram Language function, https://reference.wolfram.com/language/ref/EdgeAdd.html (updated 2015).

CMS

Wolfram Language. 2010. "EdgeAdd." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/EdgeAdd.html.

APA

Wolfram Language. (2010). EdgeAdd. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EdgeAdd.html

BibTeX

@misc{reference.wolfram_2025_edgeadd, author="Wolfram Research", title="{EdgeAdd}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/EdgeAdd.html}", note=[Accessed: 21-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_edgeadd, organization={Wolfram Research}, title={EdgeAdd}, year={2015}, url={https://reference.wolfram.com/language/ref/EdgeAdd.html}, note=[Accessed: 21-February-2025 ]}