A family of t-regular ‎self-complementary k-hypergraphs

We use the recursive method of construction large sets of t-designs given by Qiu-rong Wu (A note on extending t-designs‎, ‎{\em Australas‎. ‎J‎. ‎Combin.}‎, ‎{\bf ۴} (۱۹۹۱) ۲۲۹--۲۳۵.), and present a similar method for constructing t-subset-regular‎ ‎self-complementary k-uniform hypergraphs of order v‎. ‎As an‎ ‎application we show the existence of a new family of ۲-subset-regular‎ ‎self-complementary ۴-uniform hypergraphs with v=۱۶m+۳‎.

کلیدواژه ها:

Self-complementary‎ ‎hypergraph‎ ، ‎Uniform hypergraph‎ ، ‎Regular hypergraph‎ ، ‎Large sets of t-designs