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Totally symmetric latin squares with prescribed intersection numbers

✍ Scribed by Chin-Mei Fu; Wen-Chung Huang; Yi-Hsin Shih; Yu-Ju Yaon

Book ID
108113374
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
325 KB
Volume
282
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

Completing partial latin squares with pr
Completing partial latin squares with prescribed diagonals
✍ Martin GrΓΌttmΓΌller πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 302 KB

This paper deals with completion of partial latin squares L = (lij) of order n with k cyclically generated diagonals (li+t;j+t = lij + t if lij is not empty; with calculations modulo n). There is special emphasis on cyclic completion. Here, we present results for k = 2; : : : ; 7 and odd n 6 21, and

Quasi-symmetric designs with fixed diffe
Quasi-symmetric designs with fixed difference of block intersection numbers
✍ Rajendra M. Pawale πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

## Abstract The following results for proper quasi‐symmetric designs with non‐zero intersection numbers __x__,__y__ and λ > 1 are proved. Let __D__ be a quasi‐symmetric design with __z__ = __y__β€‰βˆ’β€‰__x__ and __v__ β‰₯ 2__k__. If __x__ β‰₯ 1 + __z__ + __z__^3^ then λ < __x__ + 1 + __z__ + __z__^3^. Let