File:Random binary trees.svg

Uploaded by David Eppstein
Upload date 2024-02-13T02:09:34Z
MIME type image/svg+xml
Dimensions 1098 × 567 px
File size 2.7 KB

Summary

Description
English: Two random distributions on three-vertex binary trees, the binary search trees on three keys a, b, and c. These five trees are each assigned probability 1/5 by the uniform distribution (top). The distribution generated by random insertion orderings (bottom) assigns the center tree probability 1/3, because two of the six possible insertion orderings generate the same tree; the other four trees have probability 1/6.
Date
Source Own work
Author David Eppstein

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Two random distributions on three-vertex binary trees

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12 February 2024

2,802 byte

567 pixel

1,098 pixel

image/svg+xml

580c941713caa21f8d9d6dc459465c2b4b5620b7

Category:Binary search trees Category:CC-Zero Category:Self-published work