TR01-042 | 31st May 2001 00:00
		
		
Approximating Bounded Degree Instances of NP-Hard Problems
	
	
	
		
		
		
		
TR01-042
		
		Authors:
		
			
Marek Karpinski
		
		
		Publication: 1st June 2001 11:21
		Downloads: 2700 
		
Keywords: 
		
		Approximation Algorithms, 
		
		
Approximation Ratios, 
		
		
Bounded Degree Instances, 
		
		
Linear Equations, 
		
		
lower bounds, 
		
		
MAX-2SAT, 
		
		
MAX-BISECTION, 
		
		
Max-Cut, 
		
		
MIN-BISECTION, 
		
		
MIS, 
		
		
nearest codeword problem, 
		
		
Node Cover, 
		
		
Semidefinite Programs, 
		
		
Sorting by Reversals, 
		
		
Traveling Salesman Problem
		
		 
	 
	Abstract:
	We present some of the recent results on computational complexity 
of approximating bounded degree combinatorial optimization problems. In 
particular, we present the best up to now known explicit nonapproximability 
bounds on the very small degree optimization problems which are of 
particular importance on the intermediate stages of proving approximation 
hardness of some other generic optimization problems.