A census of 2-(9, 3, 3) designs
نویسندگان
چکیده
There are 22521 nonisomorphic 2-(9,3,3) designs of which 9218 are decomposable and 395 resolvable. Computational methods used to find and analyse these designs are discussed. All cubic multigraphs on 8 vertices are displayed and their role in the generation process is outlined. Statistics are presented concerning neighborhood graphs, multiple blocks, parallel classes, subdesigns, group orders and fragments. It is verified that all 2-(9,3,3) designs are 2and 3-resolvable and that 3 of them have mutually orthogonal resolutions. Two families of designs together with some of their properties are listed.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 5 شماره
صفحات -
تاریخ انتشار 1992