In this paper we deal with all 3-manifolds which are obtained by glueing the boundaries of two Seifert fibered spaces over a disk with two exceptional fibers. We will give a necessary and sufficient condition for those 3-manifolds to admit Heegaard splittings of genus two. Moreover we will evaluate the numbers of Heegaard splittings of genus two, up to isotopy, of those 3-manifolds. In fact, we will see that the numbers are at most four.
"On Minimum Genus Heegaard Splittings of Some Orientable Closed 3-Manifolds." Tokyo J. Math. 12 (2) 321 - 355, December 1989. https://doi.org/10.3836/tjm/1270133184