A binary tree can be represented using an array by assigning each node in the tree a unique index based on its level and position within the level. The root node is assigned index 1, and its left and right children are assigned indices 2 and 3, respectively. The left child of a node at … Read more
The Floyd-Warshall algorithm (also known as Warshall’s algorithm) is an algorithm used to find the shortest paths in a weighted graph with positive or negative edge weights. The algorithm was developed by Robert Floyd and Stephen Warshall in 1962. Here’s how the algorithm works: The floydWarshall function takes a 2D array graph representing the adjacency … Read more
Dijkstra’s algorithm is a popular algorithm used in computer science to find the shortest path between two nodes in a weighted graph. The algorithm was invented by Edsger W. Dijkstra in 1956. Here’s how the algorithm works: Dijkstra’s algorithm is commonly used in applications such as routing protocols in computer networks, finding shortest paths in … Read more
In computer science, a binary tree is a tree data structure where each node can have at most two children, referred to as the left child and the right child. The height of a binary tree is the length of the longest path from the root node to a leaf node. In other words, the … Read more
Boundary traversal of a binary tree involves visiting the boundary nodes of the tree in a clockwise direction, starting from the root node. The boundary nodes of a tree include the root node, the left boundary, the leaf nodes, and the right boundary. Here’s an example of a binary tree : The boundary traversal of … Read more
Diagonal traversal of a binary tree is a way to visit all the nodes of a binary tree in a diagonal order. In diagonal traversal, we first visit the left child of the root node, then all the nodes on the diagonal starting from the left child of the root, and then we move to … Read more
To check if a binary tree is balanced or not, we can use a recursive approach. A binary tree is considered balanced if the difference between the height of its left and right subtrees is no more than one, and both the left and right subtrees are also balanced. Here’s an algorithm to check whether … Read more
Zigzag traversal of a binary tree is a way of visiting the nodes of the tree in a zigzag pattern. It means that we first visit the nodes at level 1 from left to right, then the nodes at level 2 from right to left, and so on. Essentially, we alternate between left-to-right and right-to-left … Read more
The bottom view of a binary tree is the set of nodes that are visible when the tree is viewed from the bottom. In other words, it is the set of nodes that are at the bottom-most level of the tree for each horizontal distance. If there are multiple nodes at the same horizontal distance … Read more
The top view of a binary tree is the set of nodes that are visible when we look at the tree from the top. To be more precise, the top view of a binary tree is the set of nodes that are visible when we project the tree onto a vertical plane and look at … Read more
