Police say the incident was first reported around 2:45 p.m. inside Forest Park, although the graffiti was found around 11:45 a.m.
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Police responded to the location and found two fallen trees with one swastika sprayed on each of them.
They say the suspect appeared to have used white paint to vandalize the fallen trees.
The trees were found about a quarter mile from the main entrance to the park.
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There have been no arrests so far and the investigation is ongoing.
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