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Graph Radius -- from Wolfram MathWorld

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Graph Radius

The radius of a graph is the minimum graph eccentricity of any graph vertex in a graph. A disconnected graph therefore has infinite radius (West 2000, p. 71).

Graph radius is implemented in the Wolfram Language as GraphRadius[g]. Precomputed radii for many named graphs can be obtained using GraphData[graph, "Radius"].

See alsoCentral Point

,

Graph Center

,

Graph Diameter

,

Graph Eccentricity Explore with Wolfram|Alpha ReferencesHarary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 35, 1994.Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, p. 107, 1990.West, D. B. Introduction to Graph Theory, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2000. Referenced on Wolfram|AlphaGraph Radius Cite this as:

Weisstein, Eric W. "Graph Radius." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GraphRadius.html

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