Wiseman, J.A., On the intersection rank of a graph, Discrete Mathematics 104 293-305.
โฆ LIBER โฆ
An application of intersection diagrams of high rank
โ Scribed by K. Nomura
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 286 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
We have obtained several results on distance-regular graphs by using intersection diagrams with respect to adjacent vertices. In this paper, we give an application of the intersection diagram with respect to nonadjacent vertices.
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๐ 2 views
Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists