A partial kite system of order n can be embedded in a kite system of order 8n+9

Abstract

In this paper, it is shown that a partial edge-disjoint decompostion of K-n into kites (that is, into copies of K-3 with a pendant edge attached) can be embedded in a complete edge-disjoint decompostion of K4t+9 into kites for all even t >= 2n. The proof requires first proving another interesting result, a generalization of an embeddding result on symmetric latin squares by L. D. Andersen, following a result by A. Cruse.