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Perfect Mendelsohn Packing Designs with Block Size Five

โœ Scribed by F. E. Bennett; J. Yin; H. Zhang; R. J. R. Abel

Book ID
110260046
Publisher
Springer
Year
1998
Tongue
English
Weight
114 KB
Volume
14
Category
Article
ISSN
0925-1022

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Let M = {m1 , m2 , . . . , m h } and X be a v-set (of points). A holey perfect Mendelsohn designs (briefly (v, k, ฮป) -HPMD), is a triple (X, H, B), where H is a collection of subsets of X (called holes) with sizes M and which partition X, and B is a collection of cyclic k-tuples of X (called blocks)

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## Abstract Let __v,k__, and __n__ be positive integers. An incomplete perfect Mendelsohn design, denoted by __k__โ€IPMD__(v,n)__, is a triple (__X, Y__, ๐”น) where __X__ is a __v__โ€set (of points), __Y__ is an __n__โ€subset of __X__, and ๐”น is a collection of cyclically ordered __k__โ€subsets of __X__ (

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## Abstract Let __v__, __k__, and __n__ be positive integers. An incomplete perfect Mendelsohn design, denoted by __k__โ€IPMD(__v__, __n__), is a triple (__X, Y__, ๐”น) where __X__ is a __v__โ€set (of points), __Y__ is an __n__โ€subset of __X__, and ๐”น is a collection of cyclically ordered __k__โ€subsets