growing on the surface, especially the upper surface, as fungi on leaves.
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British Dictionary definitions for epigenous
biology growing on the surface, esp the upper surface, of an organism or part: an epigenous fungus
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012