摘要：An octagon quadrangle is the graph consisting of an 8-cycle ( x 1,..., x 8) with two additional chords: the edges { x 1, x 4} and { x 5, x 8}. An octagon quadrangle system of order v and index λ [ OQS ] is a pair ( X , Β ), where X is a finite set of v vertices and Β is a collection of edge disjoint octagon quadrangles (called blocks ) which partition the edge set of λK v defined on X. A 4- kite is the graph having five vertices x 1, x 2, x 3, x 4, y and consisting of an 4-cycle ( x 1, x 2,..., x 4) and an additional edge { x 1, y }. A 4- kite design of order n and index μ is a pair K =( Y , H ), where Y is a finite set of n vertices and H is a collection of edge disjoint 4- kite which partition the edge set of μKn defined on Y. An Octagon Kite System [ OKS ] of order v and indices (λ, μ) is an OQS ( v ) of index λ in which it is possible to divide every block in two 4- kites so that an 4- kite design of order v and index μ is defined. In this paper we determine the spectrum for OKS ( v ) nesting 4-kite-designs of equi-indices (2,3).
