caterpillar tree

In graph theory, a caterpillar or caterpillar tree is a tree in which all the vertices are within distance 1 of a central path.

The central path can be viewed as the caterpillar's "body" and the other vertices can be viewed as its "feet".

A tree is a caterpillar if and only if it becomes a path when all of its leaves are removed. Here a leaf means a vertex of degree one in the original tree.

It can be proved that a diameter of a caterpillar is always its body.

posted @ 2020-05-15 17:14  Pat  阅读(253)  评论(0编辑  收藏  举报