  Lattice path matroids and bicircular matroids are two well-known classes of
transversal matroids. In the seminal work of Bonin and de Mier about structural
properties of lattice path matroids, the authors claimed that lattice path
matroids significantly differ from bicircular matroids. Recently, it was proved
that all cosimple lattice path matroids have positive double circuits, while it
was shown that there is a large class of cosimple bicircular matroids with no
positive double circuits. These observations support Bonin and de Miers' claim.
Finally, Sivaraman and Slilaty suggested studying the intersection of lattice
path matroids and bicircular matroids as a possibly interesting research topic.
In this work, we exhibit the excluded bicircular matroids for the class of
lattice path matroids, and we propose a characterization of the graph family
whose bicircular matroids are lattice path matroids. As an application of this
characterization, we propose a geometric description of $2$-connected lattice
path bicircular matroids.
