  We define Leavitt path algebras of hypergraphs generalizing simultaneously
Leavitt path algebras of finitely separated graphs and Leavitt path algebras of
row-finite vertex-weighted graphs. We find linear bases for those algebras,
compute their Gelfand-Kirillov dimension, obtain some results on ring-theoretic
properties like simplicity, von Neumann regularity and Noetherianess and
investigate their K-theory and graded K-theory. By doing so we obtain new
results on the Gelfand-Kirillov dimension and graded K-theory of Leavitt path
algebras of separated graphs and on the graded K-theory of weighted Leavitt
path algebras.
