Document Type
Article
Publication Date
8-1-2005
Publication Title
Journal of Statistical Planning and Inference
Abstract
Finite projective geometries are used to obtain some series of Taguchi's linear graphs involving m^4 runs, where m is a prime or a prime power. The concept of maximal linear graph is introduced to reduce the number of nonisomorphic linear graphs. Some 81-run maximal linear graphs are given as examples. A table of 27 nonisomorphic 16-run maximal linear graphs, which is believed to be complete, is provided.
Repository Citation
Suen, Chung Yi, "Construction of m^4 Run Linear Graphs by Finite Geometries" (2005). Mathematics and Statistics Faculty Publications. 176.
https://engagedscholarship.csuohio.edu/scimath_facpub/176
DOI
10.1016/j.jspi.2004.01.008
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
133
Issue
2
