標題: The existence of 2x4 grid-block designs and their applications
作者: Mutoh, Y
Morihara, T
Jimbo, M
Fu, HL
應用數學系
Department of Applied Mathematics
關鍵字: graph decomposition;graph design;grid-block
公開日期: 2003
摘要: Fu, Hwang, Jimbo, Mutoh, and Shiue [J. Statist. Plann. Inference, to appear] introduced the concept of a grid-block design, which is defined as follows: For a v- set V, let A be a collection of r x c arrays with elements in V. A pair ( V, A) is called an r x c grid-block design if every two distinct points i and j in V occur exactly once in the same row or in the same column. This design has originated from the use of DNA library screening. They gave some general constructions and proved the existence of 3 x 3 grid-block designs. Meanwhile, the existence of 2 x 3 grid-block designs was shown by Carter [ Designs on Cubic Multigraphs, Ph. D. thesis, McMaster University, Hamilton, ON, Canada, 1989] by decomposing K-v into cubic graphs. In this paper, we show the existence of 2 x 4 grid-block designs.
URI: http://hdl.handle.net/11536/28241
http://dx.doi.org/10.1137/S0895480101387364
ISSN: 0895-4801
DOI: 10.1137/S0895480101387364
期刊: SIAM JOURNAL ON DISCRETE MATHEMATICS
Volume: 16
Issue: 2
起始頁: 173
結束頁: 178
Appears in Collections:Articles