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Graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects.
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Small set expansion and expanders
Given a graph $G=(V,E)$ on $n$ vertices and $0 \leq \delta \leq 1/2$, we can define the expansion of $G$ over small sets:
$$
h(G,\delta)= \min_{\vert S\vert \leq \delta n } \phi(S) \ ,
$$
with
$$\phi( …