论文标题
五边形几何形状的存在结果
Existence results for pentagonal geometries
论文作者
论文摘要
给出了具有块大小k = 3或k = 4的五角形几何形状孔（K，r）的新结果。特别是，我们完全确定了最大数量相对线对的pent（3，r）系统的存在光谱以及没有任何相对线对的系统。证明了具有任何数量的相对线对的pent（3，r）的广泛结果。我们还确定具有11种可能例外的Pent（4，R）系统的存在谱。
New results on pentagonal geometries PENT(k,r) with block sizes k = 3 or k = 4 are given. In particular we completely determine the existence spectra for PENT(3,r) systems with the maximum number of opposite line pairs as well as those without any opposite line pairs. A wide-ranging result about PENT(3,r) with any number of opposite line pairs is proved. We also determine the existence spectrum of PENT(4,r) systems with eleven possible exceptions.
