The fine triangle intersections for maximum kite packings

Citation
Zhang, Gui Zhi et al., The fine triangle intersections for maximum kite packings, Acta mathematica Sinica. English series (Print) , 29(5), 2013, pp. 867-882
ISSN journal
14398516
Volume
29
Issue
5
Year of publication
2013
Pages
867 - 882
Database
ACNP
SICI code
Abstract
In this paper, the fine triangle intersection problem for a pair of maximum kite packings is investigated. Let Fin(v) = {(s, t): . a pair of maximum kite packings of order v intersecting in s blocks and s + t triangles}. Let Adm(v) = {(s, t): s + t . b v , s, t are non-negative integers}, where b v = .v (v .1)/8.. It is established that Fin(v) = Adm(v)\{(b v . 1, 0), (b v . 1, 1)} for any integer v . 0,1 (mod 8) and v . 8; Fin(v) = Adm(v) for any integer v . 2, 3, 4, 5, 6,7 (mod 8) and v . 4.