Welcome to the section on Graph Theory Exercises! Here, you will find a variety of problems and challenges related to graph theory. These exercises are designed to help you understand the fundamental concepts and apply them in different scenarios.

Exercises

  1. Shortest Path Problem
    Given a graph with weighted edges, find the shortest path between two vertices using Dijkstra's algorithm.

  2. Graph Coloring
    Given a graph, determine if it can be colored using at most three colors such that no two adjacent vertices have the same color.

  3. Bipartite Graph
    Check if a given graph is bipartite. If it is, print the two sets of vertices.

  4. Minimum Spanning Tree
    Find the minimum spanning tree of a connected, weighted graph using Kruskal's algorithm.

  5. Connected Components
    Find the number of connected components in an undirected graph.

Resources

For further reading and practice, you can visit our Data Structures section.

Graph Theory

If you have any questions or need further clarification on any of the exercises, feel free to contact us. We're here to help!