Most Asked Problems on Graph Algorithm for Coding Interviews

Graph consists of vertices and edges which is a non-linear data structure. In this article, we will discuss the most common and popular problems of graphs in Data Structures and Algorithms. We are covering basic to advanced-level problems which will help you to learn the whole concept in a structured manner.

Here are the graph data structure problems from the basics to the advanced level ?

Fundamentals Problems

Here are the basic problems of Graph Data structure ?

• BFS Implementation
• DFS Implementation
• Graph Coloring
• Graph Representation
• Minimum Spanning Trees (Kruskal's)
• Minimum Spanning Trees (Prim's)
• Print Adjacency List
• Union-Find Data Structure

Intermediate Problems

Here are the Intermediate problems of the Graph Data Structure ?

• Connected Components in Undirected Graph
• Island Counter Problems
• Cycle Detection in Undirected Graphs
• Minimum Knight Moves
• Bipartite Graph Checking
• Maximum Flow in Networks
• Cycle Detection in Directed Graphs
• Path Existence Verification
• Topological Sorting
• Node Level Computation
• Two Vertices Path Counter
• Distance to Nearest Target
• Dominating Set Problems
• Minimum Graph Modifications
• Knight Tour Problems
• Dijkstra's Algorithm Implementation
• Network Flow Problems
• Bridge Finding
• Flood Fill Applications
• Pattern Search in Grid
• Palindrome Partitioning

Advanced Problems

Advanced problems of Graph Data Structure are given below ?

• Critical Edge Detection
• Optimal Path Cost
• Tarjan's Algorithm
• Articulation Points
• Bridge Edges
• Lexicographical Graph Ordering
• Maximum Flow-Minimum Cut
• Graph Isomorphism
• Hamiltonian Cycle Detection
• Traveling Salesman Problem
• Graph Coloring Problems
• Maximum Clique Finding
• Vertex Cover Solutions