# C Programming Examples on Hard Graph Problems & Algorithms

This section covers C Programming Examples on Hard Graph Problems & Algorithms. Every example program includes the description of the program, C code as well as output of the program. Here is the listing of C programming examples:

**1. C Programming examples on “Clique”**

C Program to Find the Maximum Size Clique in a Graph C Program to Find a Clique by Using the Technique of the Most Dense Subgraph C Program to Find the Largest clique in a Planar Graph C Program to Solve the Decision Problem of Testing Whether a Graph Contains a Clique Larger than a Given Size C Program to Find a Maximum Weight Clique in a Weighted Graph C Program to Find All the Cliques of a Given Size k C Program to Find the Largest Independent Set in a Graph by Complements and Find the Clique of this Graph C Program to Find Independent Sets in a Graph by Graph Coloring C Program to Find the Maximum Independent Set of a Tree in Linear Time C Program to Find Size of the Largest Independent Set(LIS) in a Given a Binary Tree C Program to Find Size of the Largest Independent Set(LIS) in a Given an N-ary Tree |

**2. C Programming examples on “Vertex Cover”**

C Program to Implement a Heuristic to Find the Vertex Cover of a Graph C Program to Solve the Dominating Set Problem C Program to Check Whether a Vertex Cover of Size k Exists |

**3. C Programming examples on “Traveling Salesman Problem”**

C Program to Solve Travelling Salesman Problem for Unweighted Graph C Program to Implement Branch and Bound Method to Perform a Combinatorial Search C Program to Solve TSP Using Minimum Spanning Trees C Program to Solve TSP Using Incremental Insertion Method C Program to Find a k-Optimal Tour for TSP C Program to Implement Held-Karp Algorithm C Program to Implement Nearest Neighbour Algorithm |

**4. C Programming examples on “Hamiltonian Cycle”**

C Program to Find Hamiltonian Cycle in an UnWeighted Graph C Program to Find the Longest Path in a DAG C Program to Check if a Given Graph must Contain Hamiltonian Cycle or Not C Program to Convert Hamiltonian Cycle into Path C Program to Check Whether a Hamiltonian Cycle or Path Exists in a Given Graph |

**5. C Programming examples on “Graph Partition”**

C Program to Find Minimum Number of Edges to Cut to make the Graph Disconnected C Program to Partition a Tree from a Given Element using DFS C Program to Find the Maximum Cut in a Graph C Program to Perform Spectral Partitioning of a Graph |

**6. C Programming examples on “Vertex Coloring”**

C Program to Perform Graph Coloring on Bipartite Graphs C Program to Check if a Given Graph is Bipartite C Program to Perform Edge Coloring of a Graph C Program to Use Color Interchange Method to Perform Vertex Coloring of Graph C Program to Demonstrate the Implementation of 4-Color Problem C Program to Perform Greedy Coloring |

**7. C Programming examples on “Edge Coloring”**

C Program to Implement the Vizing’s Theorem C Program to Find Chromatic Index of Cyclic Graphs C Program to Perform Edge Coloring on Complete Graph C Program to Perform Edge Coloring to the Line Graph of an Input Graph C Program to Find the Arboricity of a Graph C Program to Solve the Open Shop Scheduling Problem |

**8. C Programming examples on “Steiner Tree”**

C Program to Find the Steiner Tree of a Given Graph C Program to Apply Heuristic Based on Shortest Path to Find Steiner Tree C Program to Check if a Steiner Tree Size k Exists for a Graph |

**9. C Programming examples on “Feedback Edge/Vertex Set”**

C Program to Check Whether Graph is DAG C Program to Find a Good Feedback Edge Set in a Graph C Program to Find a Good Feedback Vertex Set |

If you want to learn implementations of all algorithms and programs in C,

**Here’s the list of 1000 C Algorithms, Problems & Programming Examples.**