Can a graph be testable

I don't know if this will answer your question but: yes.

hopefully this helps

Explanation:

A graph property P is testable if there is a randomized algorithm T , that can distinguish for every ϵ > 0 and with probability 2/3, between graphs satisfying P and graphs that are ϵ-far from satisfying P, while making a number of edge queries2 which is bounded by some function q(ϵ)

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