Title
Monotonic Directed Designs
Abstract
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
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 Ge190495.51
Dawei Huang234036.78
Ying Miao349143.85