For more information regarding Bristol-Myers Squibb Clinical Trial participation, please visit www.BMSStudyConnect.com Inclusion Criteria: - Males and females, 34 weeks adjusted gestational age to < 18 years of age - Congenital or acquired heart diseases requiring chronic anticoagulation for thromboprophylaxis (eg, single ventricle physiology including all 3 stages of palliation, dilated cardiomyopathy, Kawasaki disease with coronary aneurysms, and pulmonary hypertension) - Eligible patients include those who newly start anticoagulants and those who are currently on VKA or LMWH or other anticoagulants for thromboprophylaxis - Able to tolerate enteral medication [eg, by mouth, nasogastric tube, or gastric tube] Exclusion Criteria: - Recent thromboembolic events less than 6 months prior to enrollment - Use of aggressive life-saving therapies such as ventricular assist devices (VAD) or extracorporeal membrane oxygenation (ECMO) at the time of enrollment - Artificial heart valves and mechanical heart valves - Known inherited bleeding disorder or coagulopathy (e.g. hemophilia, von Willebrand disease, etc.) - Active bleeding at the time of enrollment - Any major bleeding other than perioperative in the preceding 3 months - Known intracranial congenital vascular malformation or tumor - Confirmed diagnosis of a GI ulcer - Known inherited or acquired thrombotic disorders (Antiphoshpholipid syndrome (APS)). Other protocol defined inclusion/exclusion criteria could apply