Periwinkle. Tough, low-maintenance, and pest-free, Vinca minor has pretty broadleaf foliage and flowers; it is also useful for providing ground cover and is known for its creeping habit. In spite of all of these benefits, there is one drawback: it has a tendency to overtake an area. Learn how to grow and care for this popular ground cover which belongs to the dogbane family. The plants are tough enough to naturalize in many areas.