Math 2.0

Concept

Moore graph

Summary

In graph theory, a Moore graph is a regular graph whose girth (the shortest cycle length) is more than twice its diameter (the distance between the farthest two vertices). If the degree of such a graph is dd and its diameter is kk, its girth must equal 2k+12k + 1. This is true, for a graph of degree dd and diameter kk, if and only if its number of vertices (its order) equals

Further reading

  1. Wikipedia, page 4112719, revision 1374109900, Moore graph. adopted
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Changed4 November 2026

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