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

Department of Mathematics2024-11-0920060381-7032N/AN/Ahttps://hdl.handle.net/20.500.14288/11504In this paper, it is shown that a partial edge-disjoint decompostion of Kn into kites (that is, into copies of K3 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.MathematicsA partial kite system of order n can be embedded in a kite system of order 8n+9Journal Articlehttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33745005718&partnerID=40&md5=ab281b87cba3c4aa8710f47821bd5b6d237372700022Q45030