University of IsfahanTransactions on Combinatorics2251-86576120170301A family of $t$-regular self-complementary $k$-hypergraphs39462036310.22108/toc.2017.20363ENMasoud AriannejadUniversity of zanjanMojgan EmamiDepartment of Mathematics,
University of ZanjanOzra NaserianDepartment of Mathematics,
University of ZanjanJournal Article20151125We 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 4} (1991) 229--235.), 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 2-subset-regular self-complementary 4-uniform hypergraphs with $v=16m+3$.http://toc.ui.ac.ir/article_20363_caa3ab087951b3985516a80dc389ee3a.pdf