๐”– Bobbio Scriptorium
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Edge-coloured designs with block size four

โœ Scribed by Charles J. Colbourn; Douglas R. Stinson


Book ID
105323874
Publisher
Springer
Year
1988
Tongue
English
Weight
659 KB
Volume
36
Category
Article
ISSN
0001-9054

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๐Ÿ“œ SIMILAR VOLUMES


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โœ J. Wang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 141 KB

## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, groupโ€type (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po

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In this paper we study the group-divisible designs with block size four on at most 30 points. For all but three of the possible group types, we determine the existence or non-existence of the design.

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In this paper, we give constructions of block designs with block size 4 and index 1, for L = 3, 6 which have a blocking set for all admissible orders (with at most 5 possible exceptions). A design which admits a blocking set is 2-colorable. These results, in conjunction with an earlier paper [l], s

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โœ Troy M. J. Vasiga; Steven Furino; Alan C. H. Ling ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 147 KB ๐Ÿ‘ 1 views

An a-resolvable BIBD is a BIBD with the property that the blocks can be partitioned into disjoint classes such that every class contains each point of the design exactly times. In this paper, we show that the necessary conditions for the existence of -resolvable designs with block size four are sufยฎ