  Lattice path matroids form a subclass of transversal matroids and were
introduced by Bonin, de Mier and Noy. Transversal matroids are not
well-quasi-ordered, even when the branch-width is restricted. Though lattice
path matroids are not well-quasi-ordered, we prove that lattice path matroids
of bounded branch-width are well-quasi-ordered.
