GraphRadius [g]
gives the minimum eccentricity of the vertices in the graph g.
GraphRadius [{vw,…}]
uses rules vw to specify the graph g.
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
- The following options can be given:
-
- Possible Method settings include "Dijkstra", "FloydWarshall", and "Johnson".
Examples
open all close allBasic 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 :
Related Guides
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_2025_graphradius, author="Wolfram Research", title="{GraphRadius}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GraphRadius.html}", note=[Accessed: 26-October-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: 26-October-2025]}