A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are constructed.	
	
		
		
	
	
	
	
																		
						Keywords:						
												
						elliptical billiard, Liouville foliation, isoenergy manifold, Liouville equivalence, Fomenko graph						
						
						
												
						
							
						
						
		
Citation:
	
	Dragović V., Radnović M., Bifurcations of Liouville tori in elliptical billiards, Regular and Chaotic Dynamics,	
	2009, Volume 14, Numbers 4-5,
	 pp. 479-494