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Central Point


A central point of a graph is a graph vertex v whose graph eccentricity equals the graph radius. The set of all central points is called the graph center.

In analytic number theory, the central point of an L-function is the point fixed by the symmetry in its functional equation. For a functional equation relating s and 1-s, the central point is s=1/2. For the classical normalization of an elliptic curve L-function relating s and 2-s, it is s=1.


See also

Centroid Point, Functional Equation, Graph Center, Graph Eccentricity, Graph Radius, L-Function

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References

Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 35, 1994.Iwaniec, H. and Kowalski, E. Analytic Number Theory. Providence, RI: Amer. Math. Soc., 2004.

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Central Point

Cite this as:

Weisstein, Eric W. "Central Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CentralPoint.html

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