Proof Techniques: The Pigeonhole Principle
What is the Pigeonhole Principle? The pigeonhole principle says: “If you try to place more objects than the number of …
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Proofs by Contradiction — Proof Techniques in Theory of Computation
⭐ What Is a Proof by Contradiction? (Simple Words) A proof by contradiction works like this: It’s like pulling a …
Nonconstructive Proofs — Proof Techniques in Theory of Computation
⭐ What Is a Nonconstructive Proof? A nonconstructive proof demonstrates that something exists without directly building it. You don’t produce: …
Constructive Proof — Proof techniques in Theory of Computation
⭐ What Is a Constructive Proof? (In Simple Words) A constructive proof shows something exists by explicitly building it. So …
Direct proofs — Proof techniques Theory of Computation
⭐ What Is a Direct Proof? A direct proof is a method where you: It’s like someone tells you: “If …
Minimum Spanning Tree (MST)
🌐 What is a Spanning Tree? Take a connected graph (a set of points joined by lines).A spanning tree is: …
Graph Traversal Methods
🌉 What Is Graph Traversal? Imagine you’re exploring a new city.You start from one place and slowly move to nearby …
Linked Representation of a Graph
What Is a Linked Representation? In this method, the graph is stored using linked lists. For each vertex, we create …
Shortest Path Algorithm
Shortest Path Algorithm Imagine you’re standing in a new city with several streets connecting different places.You want to reach your …
Warshall’s Algorithm – Graphs
Warshall’s Algorithm Warshall’s Algorithm is a neat trick that answers this question for every pair of vertices in a graph. …