Gravitons and Cold Dark Matter

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What would be the distinguishing theoretical differences between gravitons with an infinitesimal rest mass (non-zero) and cold dark matter?
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Reference:
Dark matter - Wikipedia
Graviton - Wikipedia
 
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Wouldn't they tend to have the opposite effect? The existence of dark matter leads to increased gravitational attraction. But if the graviton had a mass, gravity would have a finite range, and attraction between distant galaxies would be reduced.
 

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