Hierholzer's Algorithm | Valid Arrangement of Pairs | Leetcode 2097 | Graph Concepts & Qns - 43
372iPad PDF Notes Link - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/iPad PDF Notes/Graph Concepts - Euler Part-4 - Heirholzer's Algorithm-Leetcode-2097.pdf
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Hi Everyone, this is the 43rd video of our Playlist "Graph Concepts & Qns".
This is one of the very popular topics in Graph as well as a very important topic in Graph.
We had already studied Euler Path/Circuit theory in video-40, video-41 and video-42 of this playlist.
Euler Part-1 : • Euler Path | Euler Circuit | PART-1 |...
Euler Part-2 : • Euler Path | Euler Circuit | PART-2 |...
Euler Part-3 : • Euler Path | Euler Circuit | PART-3 |...
In this video, we will see what is Hierholzer's Algorithm is and how it helps to find the Euler Path in a Graph.
Problem Name : Hierholzer's Algorithm | Valid Arrangement of Pairs | Leetcode 2097 | Graph Concepts & Qns - 43 | Explanation + Code
Company Tags : will update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Graph/Euler/Valid Arrangement of Pairs.cpp
Leetcode Link : https://leetcode.com/problems/valid-arrangement-of-pairs
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Segment Tree Concepts Playlist : • Segment Tree | Introduction | Basics ...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
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Video Summary :
The solution finds a valid Eulerian path in a directed graph represented by a list of pairs. It involves the following steps:
1) Graph Construction:
Build an adjacency list to represent the directed graph, while also tracking the indegree and outdegree of each node.
2) Start Node Identification:
Identify the starting node of the Eulerian path. The start node is the node where outdegree - indegree == 1. If no such node exists, use the first node from the input pairs.
3) DFS to Construct Eulerian Path:
Perform a depth-first search (DFS) using a stack to traverse the graph and construct the Eulerian path by removing edges as they are visited.
4) Result Construction:
Reverse the Eulerian path obtained from DFS and convert it into a list of consecutive pairs, which forms the valid arrangement.
This approach ensures that all edges are used exactly once, yielding a valid Eulerian path in the given directed graph.
✨ Timelines✨
00:00 - Introduction
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