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Strongly Regular Graphs and Designs with Three Intersection Numbers

✍ Scribed by Yury J. Ionin; M.S. Shrikhande

Book ID
110263452
Publisher
Springer
Year
2000
Tongue
English
Weight
95 KB
Volume
21
Category
Article
ISSN
0925-1022

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In this paper, we consider total clique covers and intersection numbers on multifamilies. We determine the antichain intersection numbers of graphs in terms of total clique covers. From this result and some properties of intersection graphs on multifamilies, we determine the antichain intersection n

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## 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