WOLFRAM

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)Summary of the most common use cases

Give the graph radius for a complete graph:

Out[1]=1

Scope  (7)Survey of the scope of standard use cases

GraphRadius works with undirected graphs:

Out[1]=1

Directed graphs:

Out[1]=1

Weighted graphs:

Out[1]=1

Multigraphs:

Out[1]=1

Mixed graphs:

Out[1]=1

Use rules to specify the graph:

Out[1]=1

GraphRadius works with large graphs:

Out[2]=2

Applications  (1)Sample problems that can be solved with this function

Illustrate the radius in two Petersen graphs:

Out[2]=2

For a CompleteGraph, the radius is 1:

Out[3]=3

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

Out[4]=4

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

Out[5]=5

For a WheelGraph, the radius is 1:

Out[6]=6

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

Out[7]=7

For a CompleteKaryTree tree of depth , the radius is :

Out[8]=8

Properties & Relations  (1)Properties of the function, and connections to other functions

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

Out[1]=1
Out[2]=2
Out[3]=3
Wolfram Research (2010), GraphRadius, Wolfram Language function, https://reference.wolfram.com/language/ref/GraphRadius.html (updated 2015).
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).

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.

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

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

BibTeX

@misc{reference.wolfram_2025_graphradius, author="Wolfram Research", title="{GraphRadius}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GraphRadius.html}", note=[Accessed: 07-July-2025 ]}

@misc{reference.wolfram_2025_graphradius, author="Wolfram Research", title="{GraphRadius}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GraphRadius.html}", note=[Accessed: 07-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_graphradius, organization={Wolfram Research}, title={GraphRadius}, year={2015}, url={https://reference.wolfram.com/language/ref/GraphRadius.html}, note=[Accessed: 07-July-2025 ]}

@online{reference.wolfram_2025_graphradius, organization={Wolfram Research}, title={GraphRadius}, year={2015}, url={https://reference.wolfram.com/language/ref/GraphRadius.html}, note=[Accessed: 07-July-2025 ]}