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Given maps 
$f_1,\ldots ,f_n:X\to Y$ between (finite and connected) graphs, with 
$n\geq 3$ (the case 
$n=2$ is well known), we say that they are loose if they can be deformed by homotopy to coincidence free maps, and totally loose if they can be deformed by homotopy to maps which are two by two coincidence free. We prove that: (i) if Y is not homeomorphic to the circle, then any maps are totally loose; (ii) otherwise, any maps are loose and they are totally loose if and only if they are homotopic.
