\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym %\def\frac#1 #2 {{#1\over #2}} \def\emph#1{{\it #1}} \def\em{\it} \nopagenumbers \noindent % % {\bf Andrew Frohmader} % % \medskip \noindent % % {\bf More Constructions for Tur\'{a}n's (3,4)-Conjecture} % % \vskip 5mm \noindent % % % % For Tur\'{a}n's (3, 4)-conjecture, in the case of $n = 3k+1$ vertices, ${1 \over 2}6^{k-1}$ non-isomorphic hypergraphs are constructed that attain the conjecture. In the case of $n = 3k+2$ vertices, $6^{k-1}$ non-isomorphic hypergraphs are constructed that attain the conjecture. \bye .