GraphRadius

GraphRadius[g]

gives the minimum eccentricity of the vertices in the graph g.

GraphRadius[{vw,…}]

uses rules vw to specify the graph g.

Details and Options

Examples

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Basic Examples  (1)

Give the graph radius for a complete graph:

Scope  (7)

GraphRadius works with undirected graphs:

Directed graphs:

Weighted graphs:

Multigraphs:

Mixed graphs:

Use rules to specify the graph:

GraphRadius works with large graphs:

Applications  (1)

Illustrate the radius in two Petersen graphs:

For a CompleteGraph, the radius is 1:

For a PathGraph of size , the radius is TemplateBox[{{n, /, 2}}, Floor]:

For a CycleGraph of size , the radius is TemplateBox[{{n, /, 2}}, Floor]:

For a WheelGraph, the radius is 1:

For a GridGraph of size {m,n}, the radius is TemplateBox[{{m, /, 2}}, Floor]+TemplateBox[{{n, /, 2}}, Floor]:

For a CompleteKaryTree tree of depth , the radius is :

Properties & Relations  (1)

For a connected graph, the radius can be computed by VertexEccentricity:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2022_graphradius, author="Wolfram Research", title="{GraphRadius}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GraphRadius.html}", note=[Accessed: 28-March-2023 ]}

BibLaTeX

@online{reference.wolfram_2022_graphradius, organization={Wolfram Research}, title={GraphRadius}, year={2015}, url={https://reference.wolfram.com/language/ref/GraphRadius.html}, note=[Accessed: 28-March-2023 ]}