caterpillar tree

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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.

caterpillar tree

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原文地址：https://www.cnblogs.com/Patt/p/12896056.html