Welcome to Knotorious – Master the Ropes Like a Pro! 🧗‍♂️🪢 From friction hitches to tree climbing and must-have gear, this is your go-to spot for all things knots and vertical adventure! Whether you ...

How do you count rooted planar n n-ary trees with some number of leaves? For n = 2 n = 2 this puzzle leads to the Catalan numbers. These are so fascinating that the combinatorist Richard Stanley wrote ...

Design an algorithm and write code to serialize and deserialize a binary tree. Writing the tree to a file is called 'serialization' and reading back from the file to reconstruct the exact same binary ...

Minecraft Snapshot 25W09A introduces new fallen trees at various biomes. Now, the firefly bushes spawn in Mangrove biomes rather than badlands. Finally, the leaf litter blocks have become replaceable ...

Now that we’re getting into more complex data structures, having more complex operations, it’s helpful to have a tool for visualization. Here’s a tool developed by David Galles, formerly of University ...

ABSTRACT: In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a ...

Merkle trees, also known as hash trees or binary hash trees, are tree-like data structures used in computer science. They are named after their inventor, Ralph Merkle, who proposed the concept in 1979 ...

Abstract: Alphabetic codes and binary search trees are combinatorial structures that abstract search procedures in ordered sets endowed with probability distributions. In this paper, we design new ...