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Antipode

المؤلف:  Gorovoy, D. and Zmiaikou, D

المصدر:  "On Graphs with Unique Geoodesics and Antipodes." 19 Nov 2021. https://arxiv.org/abs/2111.09987.

الجزء والصفحة:  ...

10-5-2022

2054

Antipode

 

Given a point , the point  which is the antipodal point of  is said to be the antipode of .

The term antipode is also used in plane geometry. Given a central conic (or circle) and a point  lying on it, draw a line passing through  and the center  of the conic. Then the antipode  of  is other point lying on the conic through which the line  passes.

The antipode of a vertex  in a graph is a vertex  at greatest possible distance from . An antipodal graph is then defined as a connected graph in which each vertex has exactly one antipode (Gorovoy and Zmiaikou 2021).

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REFERENCES

Gorovoy, D. and Zmiaikou, D. "On Graphs with Unique Geoodesics and Antipodes." 19 Nov 2021. https://arxiv.org/abs/2111.09987.

Tietze, H. Famous Problems of Mathematics: Solved and Unsolved Mathematics Problems from Antiquity to Modern Times. New York: Graylock Press, p. 25, 1965.