单（>=5）边形的简单欧几里德排列
Simple Euclidean arrangements with one (>=5)-gon
摘要：
设L是n个伪线的简单欧几里德排列。证明了：若L恰好有一个（>=5）=边P，且k是P中与L中由伪线诱导的子排列的无界胞腔相邻的边数，则L恰好有n-k个三角形和k+n（n-5）/2个四边形.我们还证明了，如果每个伪线L是相邻的P，那么L是可拉伸的。
英文摘要：
Let L be a simple Euclidean arrangement of n pseudolines. It is shown that if L has exactly one (>=5)=gon P, and k is the number of edges of P that are adjacent to an unbounded cell of the subarrangement of L induced by the pseudolines in P, then L has exactly n-k triangles and k+n(n-5)/2 quadrilaterals. We also prove that if each pseudoline of L is adjacent to P then L is stretchable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
