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…
This Java program demonstrates how to perform Depth-First Search (DFS) traversal in a graph. DFS is used for exploring a graph in a way that it exhaustively searches all branches…
This Java program demonstrates how to perform Breadth-First Search (BFS) traversal in a graph. BFS is used for searching a graph in a layer-wise manner, which helps in finding the…
This Java program demonstrates how to detect cycles in a directed graph using the Depth First Search (DFS) algorithm. Cycle detection is important for determining if certain processes, such as…
This Java program demonstrates how to perform a topological sort on a directed acyclic graph (DAG). Topological sorting is only possible if the graph has no cycles and is directed.…
This Java program demonstrates the implementation of Dijkstra’s algorithm to find the shortest paths from a single source vertex to all other vertices in a graph with non-negative weights. The…
This Java program demonstrates the implementation of Kruskal’s algorithm to find the minimum spanning tree of a weighted, undirected graph. Kruskal’s algorithm works by sorting all edges in the graph…
Aditya Bhuyan