LuccioSamiComponents

LuccioSamiComponents[g]

gives the Luccio–Sami components of the graph g.

LuccioSamiComponents[g,{v1,v2,…}]

gives the components that include at least one of the vertices v1, v2, … .

LuccioSamiComponents[{vw,…},…]

uses rules vw to specify the graph g.

Details

Examples

open allclose all

Basic Examples  (1)

Give the Luccio–Sami components for a graph:

Scope  (6)

LuccioSamiComponents works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Give the components that include at least one of the vertices:

Use rules to specify the graph:

Applications  (1)

Highlight all Luccio–Sami components in a graph:

Properties & Relations  (2)

All Luccio–Sami components are lambda components:

The converse is not always true:

Luccio–Sami components are partially ordered by inclusion:

The corresponding directed acyclic graph:

Wolfram Research (2012), LuccioSamiComponents, Wolfram Language function, https://reference.wolfram.com/language/ref/LuccioSamiComponents.html (updated 2015).

Text

Wolfram Research (2012), LuccioSamiComponents, Wolfram Language function, https://reference.wolfram.com/language/ref/LuccioSamiComponents.html (updated 2015).

CMS

Wolfram Language. 2012. "LuccioSamiComponents." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/LuccioSamiComponents.html.

APA

Wolfram Language. (2012). LuccioSamiComponents. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/LuccioSamiComponents.html

BibTeX

@misc{reference.wolfram_2024_lucciosamicomponents, author="Wolfram Research", title="{LuccioSamiComponents}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/LuccioSamiComponents.html}", note=[Accessed: 18-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_lucciosamicomponents, organization={Wolfram Research}, title={LuccioSamiComponents}, year={2015}, url={https://reference.wolfram.com/language/ref/LuccioSamiComponents.html}, note=[Accessed: 18-November-2024 ]}