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Algorithm
171 posts
An algorithm is a step-by-step procedure for solving a problem or performing a task. Algorithms can be used in a variety of fields, including computer science, mathematics, and engineering.
Proofs of Shortest-Paths Properties: Comprehensive Explanation and Analysis
a) Optimal Substructure Property Statement: Any subpath of a shortest path is itself a shortest path. Proof: b)…
Difference Constraints and Shortest Paths: Complete Guide with Examples
Introduction Difference constraints and shortest paths are closely related concepts in graph theory and optimization. A system of…
Dijkstra’s Algorithm: Comprehensive Explanation and Implementation in C
Introduction to Dijkstra’s Algorithm Dijkstra’s algorithm is a greedy algorithm developed by Dutch computer scientist Edsger W. Dijkstra…
Single-Source Shortest Paths in Directed Acyclic Graphs (DAGs): Complete Guide
Introduction The single-source shortest paths (SSSP) problem in a directed acyclic graph (DAG) is a special case of…
Bellman-Ford Algorithm: Detailed Explanation and Implementation in C
Introduction to Bellman-Ford Algorithm The Bellman-Ford algorithm is a graph search algorithm that computes shortest paths from a…
Kruskal’s and Prim’s Algorithms for Minimum Spanning Trees: Complete Guide
Introduction Kruskal’s and Prim’s algorithms are two fundamental greedy algorithms used to find a minimum spanning tree (MST)…
Minimum Spanning Trees: Growing a Minimum Spanning Tree Explained
Introduction to Minimum Spanning Trees (MST) A Minimum Spanning Tree (MST) is a subset of the edges of…
Strongly Connected Components (SCC) in Graph Theory: Complete Guide
Introduction to Strongly Connected Components A strongly connected component (SCC) of a directed graph is a maximal subgraph…
Topological Sort Algorithm: Detailed Explanation and Implementation in C
Whenever I’m dealing with tasks that depend on each other — course prerequisites, build systems, spreadsheet formula evaluation…
Depth-First Search (DFS) Algorithm: Comprehensive Explanation and Implementation in C
Depth-First Search is the other half of the classic traversal pair alongside BFS, and honestly it’s the one…