There are two common ways to traverse a graph, BFS and DFS. Considering a Tree (or Graph) of huge height and width, both BFS and DFS are not very efficient due to following reasons. DFS first traverses nodes going through one adjacent of root, then next adjacent. The problem with this approach is, if there… Read More »
What is a Mother Vertex? A mother vertex in a graph G = (V,E) is a vertex v such that all other vertices in G can be reached by a path from v. Example : Input : Below Graph Output : 5 There can be more than one mother vertices in a graph. We need… Read More »
Given a directed graph, check whether the graph contains a cycle or not. Your function should return true if the given graph contains at least one cycle, else return false. For example, the following graph contains three cycles 0->2->0, 0->1->2->0 and 3->3, so your function must return true. Solution Depth First Traversal can be used… Read More »
What are BFS and DFS for Binary Tree? A Tree is typically traversed in two ways: Breadth First Traversal (Or Level Order Traversal) Depth First Traversals Inorder Traversal (Left-Root-Right) Preorder Traversal (Root-Left-Right) Postorder Traversal (Left-Right-Root) BFS and DFSs of above Tree Breadth First Traversal : 1 2 3 4 5 Depth First Traversals: Preorder Traversal… Read More »
In this post “Important top 10 algorithms and data structures for competitive coding “. Topics : Graph algorithms Dynamic programming Searching and Sorting: Number theory and Other Mathematical Geometrical and Network Flow Algorithms Data Structures The below links cover all most important algorithms and data structure topics: Graph Algorithms Breadth First Search (BFS) Depth First… Read More »
In this post “Top 10 coding problems of important topics with their solutions ” are written. If you are preparing for a coding interview, going through these problems is a must. Topics : 1. Graph 2. Linked List 3. Dynamic Programming 4. Sorting And Searching 5. Tree / Binary Search Tree 6. Number Theory 7. BIT… Read More »
Depth First Traversal (or Search) for a graph is similar to Depth First Traversal (DFS) of a tree. The only catch here is, unlike trees, graphs may contain cycles, so we may come to the same node again. To avoid processing a node more than once, we use a boolean visited array. For example, a… Read More »
A number is called as a Jumping Number if all adjacent digits in it differ by 1. The difference between ‘9’ and ‘0’ is not considered as 1. All single digit numbers are considered as Jumping Numbers. For example 7, 8987 and 4343456 are Jumping numbers but 796 and 89098 are not. Given a positive… Read More »
Given a list of contacts containing username, email and phone number in any order. Identify the same contacts (i.e., same person having many different contacts) and output the same contacts together.
Given a list of word lists How to print all sentences possible taking one word from a list at a time via recursion?
Given a directed graph, a source vertex ‘s’ and a destination vertex ‘d’, print all paths from given ‘s’ to ‘d’.