Rhinoplasty changes the appearance of the nose by rasping and repositioning ("breaking") nasal bones, and by trimming, suturing, grafting (layers of cartilage), and bending (changing shape) of cartilages. Typically, the nostril rim support via the alar cartilages is maintained by NOT removing too much of the lateral crura (the "wings") of the lower (alar) cartilages. If too much is removed, then there may indeed by insufficient nostril rim support. Collapse of the rim on hard inspiration can be a result of over-resection.When little or no alar cartilage removal is done, and even with scoring of the cartilage to change shape, scar tissue actually reinforces the cartilage strength. so weakening is truly unusual--improved strength (stiffness) is the more common occurrence. Only with too much removal is rim support lost, and this is more common with re-do rhinoplasty.Your breathing issues may have little or nothing to do with your rhinoplasty, and more to do with septal position, turbinate hypertrophy, or other concerns unrelated to your cosmetic changes. Of course, it's natural to associate perceived breathing differences with your rhinoplasty changes, but only ENT or plastic surgical consultation will be able to assess your concern and present anatomy. Best wishes! Dr. Tholen