论文标题
在无限的许多兄弟姐妹中，用于抛物线嵌入的本地有限树
On Infinitely Many Siblings for Locally Finite Trees with Parabolic Embeddings
论文作者
论文摘要
树木的抛物线（分别双曲线）是自我填充的是那些没有固定非空的有限子树并准确保留一个（分别为2）末端的树木。我们证明，具有抛物线寄生虫自我变形的本地有限树可以与无限的许多成对非同构树相互嵌入，除非树是单向无限的路径。结果，我们得出的结论是，Bonato-Tardif和Tyomkyn识别出的两个重要特性，用于没有任何双曲线自我填充的本地有限树。
Parabolic (resp. hyperbolic) self-embeddings of trees are those which do not fix a non-empty finite subtree and preserve precisely one (resp. two) end(s). We prove that a locally finite tree having a parabolic self-embedding is mutually embeddable with infinitely many pairwise non-isomorphic trees, unless the tree is a one-way infinite path. As a result, we conclude that two important properties identified by Bonato-Tardif and Tyomkyn hold for locally finite trees not having any hyperbolic self-embedding.
