We present randomized algorithms that solve subset sum and knapsack instances with n items in O∗ (20.86n) time, where the O∗ (∙ ) notation suppresses factors polynomial in the input size, and polynomial space, assuming random read-only access to exponentially many random bits. These results can be extended to solve binary integer programming on n variables with few constraints in a similar running time. We also show that for any constant k ≥ 2, random instances of k-sum can be solved using O(nk -0.5polylog(n)) time and O(log n) space, without the assumption of random access to random bits. Underlying these results is an algorithm that determines whether two given lists of length n with integers bounded by a polynomial in n share a common va...
The SUBSET SUM problem asks whether a given set of n positive integers contains a subset of elements...
Abstract. The technique of Schroeppel and Shamir (SICOMP, 1981) has long been the most efficient way...
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack ad...
We present space efficient Monte Carlo algorithms that solve Subset Sum and Knapsack instances with ...
We present randomized algorithms that solve subset sum and knapsack instances with n items in O∗ (20...
We present randomized algorithms that solve subset sum and knapsack instances with n items in O∗ (20...
We present space efficient Monte Carlo algorithms that solve Subset Sum and Knapsack instances with ...
We present randomized algorithms that solve Subset Sum and Knapsack instances with n items in O ∗(2 ...
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack ad...
In the Equal-Subset-Sum problem, we are given a set S of n integers and the problem is to decide if ...
The Subset Sum problem asks whether a given set of $n$ positive integers contains a subset of elemen...
The SUBSET SUM problem asks whether a given set of n positive integers contains a subset of elements...
Abstract. SubsetSum is a well known NP-complete problem: given t ∈ Z+ and a set S of m positive inte...
AbstractThree new parallel scalable algorithms for solving the Subset-Sum Problem in O(np(c−wmin)) t...
The SUBSET SUM problem asks whether a given set of n positive integers contains a subset of elements...
Abstract. The technique of Schroeppel and Shamir (SICOMP, 1981) has long been the most efficient way...
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack ad...
We present space efficient Monte Carlo algorithms that solve Subset Sum and Knapsack instances with ...
We present randomized algorithms that solve subset sum and knapsack instances with n items in O∗ (20...
We present randomized algorithms that solve subset sum and knapsack instances with n items in O∗ (20...
We present space efficient Monte Carlo algorithms that solve Subset Sum and Knapsack instances with ...
We present randomized algorithms that solve Subset Sum and Knapsack instances with n items in O ∗(2 ...
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack ad...
In the Equal-Subset-Sum problem, we are given a set S of n integers and the problem is to decide if ...
The Subset Sum problem asks whether a given set of $n$ positive integers contains a subset of elemen...
The SUBSET SUM problem asks whether a given set of n positive integers contains a subset of elements...
Abstract. SubsetSum is a well known NP-complete problem: given t ∈ Z+ and a set S of m positive inte...
AbstractThree new parallel scalable algorithms for solving the Subset-Sum Problem in O(np(c−wmin)) t...
The SUBSET SUM problem asks whether a given set of n positive integers contains a subset of elements...
Abstract. The technique of Schroeppel and Shamir (SICOMP, 1981) has long been the most efficient way...
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack ad...