Find Critical and Pseudo-Critical Edges in Minimum Spanning Tree | LeetCode 1489

Описание: In this video, we solve the Find Critical and Pseudo-Critical Edges in Minimum Spanning Tree problem from Leetcode using Kruskal’s Algorithm + Union-Find. This is an advanced graph problem that helps in understanding MST (Minimum Spanning Tree) and edge classification.

🔹 Problem Statement:
Given an undirected weighted graph, find:
1️⃣ Critical Edges - Removing them increases the MST cost.
2️⃣ Pseudo-Critical Edges - They can be included in the MST without changing the cost.

🔹 Approach (Kruskal’s + MST Analysis):
✅ Step 1: Find the MST cost using Kruskal’s Algorithm.
✅ Step 2: Check for Critical Edges by removing each edge and recalculating MST.
✅ Step 3: Check for Pseudo-Critical Edges by forcing their inclusion and verifying MST cost.

🔹 Key Concepts Covered:
📌 Kruskal’s Algorithm for MST
📌 Union-Find (Disjoint Set Union - DSU)
📌 Graph Edge Classification: Critical vs. Pseudo-Critical

🔹 Why Kruskal’s Algorithm?
📌 Efficiently constructs MST using greedy edge selection.
📌 Union-Find helps in cycle detection & efficient merging of components.
📌 We can easily check how removing or forcing an edge affects the MST.


👉 Watch the full explanation and code walkthrough in the video!
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