منابع مشابه
Mixed Covering Arrays on Graphs
We give upper and lower bounds on the size of mixed covering arrays on graphs based on graph homomorphisms. We provide constructions for covering arrays on graphs based on basic graph operations. In particular, we construct optimal mixed covering arrays on trees, cycles and bipartite graphs; the constructed optimal objects have the additional property of being nearly point balanced.
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Two vectors x, y in Zg are qualitatively independent if for all pairs (a, b) ∈ Zg×Zg, there exists i ∈ {1, 2, . . . , n} such that (xi, yi) = (a, b). A covering array on a graph G, denoted by CA(n,G, g), is a |V (G)|×n array on Zg with the property that any two rows which correspond to adjacent vertices in G are qualitatively independent. The number of columns in such array is called its size. ...
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There has been a good deal of research on covering arrays over the last 20 years. Most of this work has focused on constructions, applications and generalizations of covering arrays. The main focus of this thesis is a generalization of covering arrays, covering arrays on graphs. The original motivation for this generalization was to improve applications of covering arrays to testing systems and...
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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...
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For a prime power q ≡ 1 (mod v), the q × q cyclotomic matrix, whose entries are the discrete logarithmsmodulo v of the entries in the addition table of Fq , has been shown using character theoretic arguments to produce an ε-biased array, provided that q is large enough as a function of v and ε. A suitable choice of ε ensures that the array is a covering array of strength t when q > t2v4t . On t...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2005
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2005.03.005