Math 2.0

Concept

Modular graph

Summary

In graph theory, a branch of mathematics, the modular graphs are undirected graphs in which every three vertices xx, yy, and zz have at least one median vertex m(x,y,z)m(x, y, z) that belongs to shortest paths between each pair of xx, yy, and zz. Their name comes from the fact that a finite lattice is a modular lattice if and only if its Hasse diagram is a modular graph.

Further reading

  1. Wikipedia, page 51807881, revision 1167017433, Modular graph. adopted
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