C Programming Exercises: Graph Structure and Algorithms
This resource offers a total of 50 C Program to implement Graph Structure problems for practice. It includes 10 main exercises, each accompanied by solutions, detailed explanations, and four related problems.
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From Wikipedia,
In computer science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within mathematics.
A graph data structure consists of a finite (and possibly mutable) set of vertices (also called nodes or points), together with a set of unordered pairs of these vertices for an undirected graph or a set of ordered pairs for a directed graph. These pairs are known as edges (also called links or lines), and for a directed graph are also known as edges but also sometimes arrows or arcs. The vertices may be part of the graph structure, or may be external entities represented by integer indices or references.
Visual Presentation:
1. Graph Matrix Representation Extended Challenges
Write a C program to represent a graph using an adjacency matrix.
2. Add Vertex to Graph Extended Challenges
Write a C program that implements a function to add a new vertex to an existing graph.
3. Directed Edge Insertion Challenges
Write a C function to add a directed edge between two vertices in a graph.
4. Depth-First Search (DFS) Extended Challenges
Write a C program that implements DFS (Depth-First Search) traversal for a graph in C. Print the order of visited vertices.
5. Breadth-First Search (BFS) Extended Challenges
Write a C program to perform BFS (Breadth-First Search) traversal on a graph. Print the order of visited vertices.
6. Cycle Detection in Graphs Challenges
Write a C program that implements a function in C to check whether a given graph contains a cycle or not.
7. Topological Sorting Extended Challenges
Write a C program to perform topological sorting on a directed acyclic graph (DAG).
8. Prim's Algorithm Extended Challenges
Write a C program that implements Prim's algorithm to find the minimum spanning tree of a connected, undirected graph in C.
9. Dijkstra's Algorithm Extended Challenges
Write a C program that creates a function to find the shortest path from a source vertex to all other vertices using Dijkstra's algorithm.
10. Binary Tree Traversals from Graph Data Challenges
Write a C program to find the traversal order (pre-order, in-order, post-order) of a binary tree that represents a graph.
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