5.3: Final word

A Cool Brisk Walk Through Discrete Mathematics · LibreTexts

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    5.3: Final word

    Whew, that was a lot of information about structures. Before we continue our walk in the next chapter with a completely different topic, I’ll leave you with this summary thought. Let \(BST\) be the set of Binary Search Trees, and \(BT\) be the set of Binary Trees. Let \(RT\) be the set of rooted trees, and \(T\) be the set of trees (free or rooted). Finally, let \(CG\) be the set of connected graphs, and \(G\) the set of all graphs. Then we have:

    \[BST \subset BT \subset RT \subset T \subset CG \subset G.\]

    It’s a beautiful thing.


    This page titled 5.3: Final word was last modified on Tue, 01 Sep 2026 03:35:11 GMT and is shared under a not declared license and was authored, remixed, and/or curated by Stephen Davies (allthemath.org) via source content that was edited to the style and standards of the LibreTexts platform.