%0 Journal Article %T Enumerations of (K_4-e)-designs with small orders %A Yanxun Chang %A Tao Feng %A Giovanni Lo Faro %A Antoinette Tripodi %J Mathematics %D 2014 %I arXiv %X It is established that up to isomorphism,there are only one (K_4-e)-design of order 6, three (K_4-e)-designs of order 10 and two (K_4-e)-designs of order 11. As an application of our enumerative results, we discuss the fine triangle intersection problem for (K_4-e)-designs of orders v=6,10,11. %U http://arxiv.org/abs/1402.6747v1