On tactical configurations, regular bipartite graphs, and (v, k, even)-designs

✍ Scribed by Harald Gropp

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 795 KB
• Volume: 155
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(94)00372-p

✦ Synopsis

A report on small regular bipartite graphs is given. Some historical facts are mentioned as well as equivalent combinatorial structures are discussed. In the second part a new combinatorial structure, the (v,k, even/odd)-designs are introduced. Some first results on (v,k, even)-designs for even k are obtained. Especially, all (v, 4, even)-designs are determined. For greater k certain interesting examples are given.