Graphs are fundamental data structures used to model pairwise relationships between objects. Efficient graph representation is crucial for optimizing various graph algorithms, such as traversal, pathfinding, and connectivity checks. The…
Depth-First Search (DFS) is a fundamental graph traversal algorithm widely used in various applications such as pathfinding, topological sorting, and solving puzzles. DFS explores as far as possible along each…
Breadth-First Search (BFS) is a fundamental graph traversal algorithm used extensively in various applications such as networking, pathfinding, and social network analysis. BFS explores vertices layer by layer, ensuring that…
Detecting cycles in a graph is a fundamental problem in computer science and has numerous applications, including network topology analysis, deadlock detection in operating systems, and verifying the validity of…
Topological Sorting is a fundamental algorithmic technique used in various applications such as task scheduling, dependency resolution, and build systems. It provides a linear ordering of vertices in a Directed…
The Shortest Path problem is a fundamental challenge in computer science and graph theory, with applications ranging from network routing to geographical mapping. Dijkstra’s algorithm is one of the most…
The Minimum Spanning Tree (MST) problem is a cornerstone in the field of graph theory and has numerous applications in network design, clustering, and more. Kruskal’s algorithm is one of…
The Word Ladder problem is a classic algorithmic challenge that tests one’s ability to navigate transformations within a given set of constraints. Utilizing the Breadth-First Search (BFS) algorithm, we can…
Graph coloring is a fundamental problem in computer science and discrete mathematics. The objective is to assign colors to the vertices of a graph such that no two adjacent vertices…
This Java program demonstrates the implementation of a graph using both an adjacency list and an adjacency matrix. This allows for a comparison of two primary methods of graph representation…
Aditya Bhuyan