-line graph, denoted by
, is a generalization of line graph. Let
and
be two graphs such that
has at least 3 vertices and is connected. The
-line graph of
, denoted by
, is that graph whose vertices are the edges of
and two vertices of
are adjacent if they are adjacent in
and lie in a common copy of
. In this paper, we show that
-line graphs do not admit a forbidden subgraph characterization.