More Problems

• Write a program to check if a directed graph is a valid tree using properties of trees.
• Implement an algorithm to find the longest path that visits each vertex at least once in a bipartite graph.
• Write a program to solve the "Graph Coloring Problem" using backtracking and dynamic programming.
• Implement an algorithm to find the number of spanning trees in a directed graph using Kirchhoff’s theorem.
• Write a program to find all maximal independent sets in a directed acyclic graph using backtracking.
• Implement an algorithm to check if a bipartite graph is k-colorable using a greedy approach.
• Write a program to find the shortest path in a directed graph with both positive and negative weights.
• Implement an algorithm to calculate the number of simple cycles in a directed bipartite graph.