GraphSum

GraphSum[g1,g2]

gives the graph sum of the graphs g1 and g2.

Details

Examples

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Basic Examples  (2)

Sum of two graphs:

Generate complete graphs:

Graphs with parallel edges:

Scope  (29)

Directed Graphs  (5)

GraphSum works with directed graphs:

Simple directed graphs:

Directed multigraphs:

Directed weighted graphs:

Directed annotated graphs:

Undirected Graphs  (5)

GraphSum works with undirected graphs:

Simple undirected graphs:

Undirected multigraphs:

Undirected weighted graphs:

Undirected annotated graphs:

Mixed Graphs  (5)

GraphSum works with mixed graphs:

Simple mixed graphs:

Mixed multigraphs:

Mixed weighted graphs:

Mixed annotated graphs:

Multigraphs  (5)

GraphSum works with multigraphs:

Directed multigraphs:

Mixed multigraphs:

Weighted multigraphs:

Annotated multigraphs:

Weighted Graphs  (5)

GraphSum works with weighted graphs:

Directed weighted graphs:

Undirected weighted graphs:

Mixed weighted graphs:

Annotated weighted graphs:

Special Graphs  (4)

GraphSum works on entity graphs:

GraphSum works on trees:

Use rules to specify the graph:

GraphSum works with more than two graphs:

Properties & Relations  (5)

The sum of any graph and its complement is a CompleteGraph:

The sum of any graph and itself is a multigraph:

The sum of graphs can be obtained by joining the edges of the graphs:

The sum of graphs can be obtained by adding their adjacency matrices together:

GraphSum gives the same result as GraphUnion if graphs have different vertex names:

Neat Examples  (1)

Wolfram Research (2022), GraphSum, Wolfram Language function, https://reference.wolfram.com/language/ref/GraphSum.html.

Text

Wolfram Research (2022), GraphSum, Wolfram Language function, https://reference.wolfram.com/language/ref/GraphSum.html.

CMS

Wolfram Language. 2022. "GraphSum." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GraphSum.html.

APA

Wolfram Language. (2022). GraphSum. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GraphSum.html

BibTeX

@misc{reference.wolfram_2022_graphsum, author="Wolfram Research", title="{GraphSum}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/GraphSum.html}", note=[Accessed: 12-August-2022 ]}

BibLaTeX

@online{reference.wolfram_2022_graphsum, organization={Wolfram Research}, title={GraphSum}, year={2022}, url={https://reference.wolfram.com/language/ref/GraphSum.html}, note=[Accessed: 12-August-2022 ]}