Partial Covering Arrays: Algorithms and Asymptotics
نویسندگان
چکیده
منابع مشابه
Approximation Algorithms for Partial Covering Problems
We study a generalization of covering problems called partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard covering problems. For example, in k-partial set cover, we wish to choose a minimum number of sets to cover at least k elements. For k-partial set cover, if each element occurs in at most f sets, then we derive a primal...
متن کاملPartial Covering Arrays and a Generalized Erdős-Ko-Rado Property
The classical Erdős-Ko-Rado theorem states that if k ≤ ⌊n/2⌋ then the largest family of pairwise intersecting k-subsets of [n] = {0, 1, . . . , n} is of size ( n−1 k−1 ) . A family of k subsets satisfying this pairwise intersecting property is called an EKR family. We generalize the EKR property and provide asymptotic lower bounds on the size of the largest family A of k-subsets of [n] that sat...
متن کاملProfiles of covering arrays of strength two
Covering arrays of strength two have been widely studied as combinatorial models of software interaction test suites for pairwise testing. While numerous algorithmic techniques have been developed for the generation of covering arrays with few columns (factors), the construction of covering arrays with many factors and few tests by these techniques is problematic. Random generation techniques c...
متن کاملMemetic Algorithms for Constructing Binary Covering Arrays of Strength Three
This paper presents a new Memetic Algorithm (MA) designed to compute near-optimal solutions for the covering array construction problem. It incorporates several distinguished features including an efficient heuristic to generate a good quality initial population, and a local search operator based on a fine tuned Simulated Annealing (SA) algorithm employing a carefully designed compound neighbor...
متن کاملUniformities and covering properties for partial frames (I)
Partial frames provide a rich context in which to do pointfree structured and unstructured topology. A small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. These axioms are sufficiently general to include as examples bounded distributive...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2017
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-017-9782-9