Given an undirected graph G = (V;E) and three speci ed terminal nodes t1;t2;t3, a 3-cut is a subset A of E such that no two terminals are in the same component of GnA. If a non-neg...
Kevin K. H. Cheung, William H. Cunningham, Lawrenc...
We give a short proof of a result of Tovey [6] on the inapproximability of a scheduling problem known as precedence constrained class sequencing. In addition, we present an approxi...
The best approximation algorithm for Max Cut in graphs of maximum degree 3 uses semidefinite programming, has approximation ratio 0.9326, and its running time is (n3.5 log n) ; bu...
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
In this note we present an approximation algorithm for MAX 2SAT that given a (1 - ) satisfiable instance finds an assignment of variables satisfying a 1 - O( ) fraction of all co...
Moses Charikar, Konstantin Makarychev, Yury Makary...
We present lower bounds for the vehicle routing problem (VRP) with and without split deliveries, improving the well known bound of Haimovich and Rinnooy Kan. These bounds are then...
Let P be a combinatorial optimization problem, and let A be an approximation algorithm for P. The domination ratio domr(A, s) is the maximal real q such that the solution x(I) obt...
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Abstract. A set of phylogenetic trees with overlapping leaf sets is consistent if it can be merged without conflicts into a supertree. In this paper, we study the polynomial-time a...
We present in this article a new approximation algorithm for scheduling a set of n independent rigid (meaning requiring a fixed number of processors) jobs on hierarchical parallel ...