Abstract | ||
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The notion of a monotonic directed design was introduced to construct difference triangle sets by Chu, Colbourn, and Golomb [SIAM J. Discrete Math., 18 (2005), pp. 741-748]. In this paper, we describe various constructions for monotonic directed designs and establish the necessary and sufficient conditions for the existence of a monotonic directed design with block size 3, and with block size 4 leaving two definite exceptions and six possible exceptions. |
Year | DOI | Venue |
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2010 | 10.1137/080737502 | SIAM J. Discrete Math. |
Keywords | Field | DocType |
sufficient condition,various construction,block size,difference triangle set,definite exception,monotonic directed designs,possible exception,siam j. discrete math,orthogonal array | Block size,Orthogonal array,Monotonic function,Discrete mathematics,Combinatorics,Golomb coding,Block design,Mathematics | Journal |
Volume | Issue | ISSN |
24 | 1 | 0895-4801 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gennian Ge | 1 | 904 | 95.51 |
Dawei Huang | 2 | 340 | 36.78 |
Ying Miao | 3 | 491 | 43.85 |