Graph morphism

In mathematics, a graph morphism can refer to either

a graph homomorphism, a homomorphism between graphs, or
in algebraic geometry, given a morphism of schemes $f:X\to Y$ over a scheme S, the morphism $X\to X\times _{S}X$ induced by f and the identity $1_{X}:X\to X$ ; see morphism of schemes#Graph morphism.

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