论文标题
超速Paths
Hyperpaths
论文作者
论文摘要
大型是图理论树的高维对应物。他们引起了各种调查人员的广泛关注。在这里，我们介绍和研究HyperPath - 一种特定的大型体系，它们是图理论中路径的高维类似物。 $ d $二维超同行是一个$ d $ d $二维大型乳房，其中每个$（d-1）$ - 尺寸面部最多包含在$（D+1）$ d $的面孔中。我们为每个维度引入了一个可能是无限的超同行家族，并在尺寸$ d = 2 $的深度研究其属性。
Hypertrees are high-dimensional counterparts of graph theoretic trees. They have attracted a great deal of attention by various investigators. Here we introduce and study Hyperpaths -- a particular class of hypertrees which are high dimensional analogs of paths in graph theory. A $d$-dimensional hyperpath is a $d$-dimensional hypertree in which every $(d-1)$-dimensional face is contained in at most $(d+1)$ faces of dimension $d$. We introduce a possibly infinite family of hyperpaths for every dimension, and investigate its properties in greater depth for dimension $d=2$.
