论文标题
带有空气口袋的大戴克路径
Grand Dyck paths with air pockets
论文作者
论文摘要
带有空气口袋（GDAP）的Grand Dyck路径是对带有空气口袋的Dyck路径的概括，它可以使其低于$ x $轴。我们在GDAP（或其前缀）上列出了受到各种限制的列举结果，例如最大/最小高度，最后一点的纵坐标和特定的首次返回分解。在某些特殊情况下，我们将使用其他已知的组合类别进行射击。
Grand Dyck paths with air pockets (GDAP) are a generalization of Dyck paths with air pockets by allowing them to go below the $x$-axis. We present enumerative results on GDAP (or their prefixes) subject to various restrictions such as maximal/minimal height, ordinate of the last point and particular first return decomposition. In some special cases we give bijections with other known combinatorial classes.
