TY - JOUR
ID - 20363
TI - A family of $t$-regular self-complementary $k$-hypergraphs
JO - Transactions on Combinatorics
JA - TOC
LA - en
SN - 2251-8657
AU - Ariannejad, Masoud
AU - Emami, Mojgan
AU - Naserian, Ozra
AD - University of zanjan
AD - Department of Mathematics,
University of Zanjan
AD - Department of Mathematics,
University of Zanjan
Y1 - 2017
PY - 2017
VL - 6
IS - 1
SP - 39
EP - 46
KW - Self-complementary hypergraph
KW - Uniform hypergraph
KW - Regular hypergraph
KW - Large sets of t-designs
DO - 10.22108/toc.2017.20363
N2 - 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 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 $v=16m+3$.
UR - https://toc.ui.ac.ir/article_20363.html
L1 - https://toc.ui.ac.ir/article_20363_caa3ab087951b3985516a80dc389ee3a.pdf
ER -