Point-weight designs with design conditions on t points

This paper examines some of the properties of point-weight incidence structures, i.e. incidence structures for which every point is assigned a positive integer weight. In particular it examines point-weight designs with a design condition that stipulates that any two "identical" sets of t points must lie on the same number of blocks. We introduce a new class of designs with this property: row-sum designs, and examine the basic properties of row-sum point-weight designs and their similarities to classical (non-point-weight) designs and the point-weight designs of Horne (1996). Key words: block design, point-weight design, row-sum design, point-sum design, n-ary block design

• Type: Journal
• Year: 2008
• Where: DM
• Authors: Alexander W. Dent
• Keywords: Design, DM 2008, Incidence Structures, Point-weight Design