  We present a construction that allows us to define a limit object of Banach
space decorated graph sequences in a generalized homomorphism density sense.
This general functional analytic framework provides a universal language for
various combinatorial limit notions. In particular it makes it possible to
assign limit objects to multigraph sequences that are convergent in the sense
of node-and-edge homomorphism numbers, and it generalizes the limit theory for
graph sequences with compact decorations.

Combinatorics;Functional Analysis