Speaker
Prof.
Saad El-Zanati
(Illinois State University)
Description
A *loose $m$-cycle* is a 3-uniform hypergraph with vertex set $\{v_1, v_2, \ldots, v_{2m}\}$ edge set $\{\{v_1,v_2,v_3\}, \{v_3,v_4,v_5\}, \ldots, \{v_{2m-1},v_{2m},v_1\}\}$. We consider the problem of decomposing $K_{v}^{(3)}$, the complete 3-uniform hypergraph of order $v$, into edge-disjoint loose $m$-cycles. We settle the problem in the case $m=4$.
Primary author
Prof.
Saad El-Zanati
(Illinois State University)
