In this paper, the fine triangle intersection problem for a pair of maximum kite packings is investigated. Let Fin(v) = {(s, t) : E← a pair of maximum kite packings of order v intersecting in s blocks and s + t...In this paper, the fine triangle intersection problem for a pair of maximum kite packings is investigated. Let Fin(v) = {(s, t) : E← a pair of maximum kite packings of order v intersecting in s blocks and s + t triangles}. Let Adm(v) = {(s,t) : s + t≤by, s, t are non-negative integers}, where by = [v(v - 1)/8]. It is established that Fin(v) = Adm(v)/{(bv - 1,0), (by - 1, 1)} for any integer v - 0, 1 (rood 8) and v ≥ 8; Fin(v) = Adm(v) for any integer v = 2, 3, 4, 5, 6, 7 (rood 8) and v≥ 4.展开更多
基金Supported by the Fundamental Research Funds for the Central Universities(Grant Nos.2011JBZ012 and 2011JBM298)National Natural Science Foundation of China(Grant Nos.61071221 and 10901016)
文摘In this paper, the fine triangle intersection problem for a pair of maximum kite packings is investigated. Let Fin(v) = {(s, t) : E← a pair of maximum kite packings of order v intersecting in s blocks and s + t triangles}. Let Adm(v) = {(s,t) : s + t≤by, s, t are non-negative integers}, where by = [v(v - 1)/8]. It is established that Fin(v) = Adm(v)/{(bv - 1,0), (by - 1, 1)} for any integer v - 0, 1 (rood 8) and v ≥ 8; Fin(v) = Adm(v) for any integer v = 2, 3, 4, 5, 6, 7 (rood 8) and v≥ 4.