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Topic: Graph-theory-question / Level: Advanced
490. Create a function to compute the minimum spanning forest of a disconnected graph.
491. Write a program to check if a tree is a valid binary search tree.
492. Implement an algorithm to solve the Chinese Postman Problem for directed graphs.
493. Write a program to compute the number of Hamiltonian paths in a graph.
494. Create a function to find the longest common path in two directed graphs.
495. Write a program to find the minimum cost flow in a flow network.
496. Implement a function to determine the longest common subsequence between multiple sequences.
497. Write a program to calculate the reachability from a single source in a directed graph.
498. Create a function to find the maximum flow in a bipartite graph.
499. Write a program to compute the Eulerian trail in an undirected graph.
500. Implement a function to find the shortest path in a directed graph with positive and negative weights.
501. Write a program to calculate the distance between all pairs of vertices using the Floyd-Warshall algorithm.
502. Create a function to determine if a directed graph can be made acyclic.
503. Write a program to find the longest palindrome path in a directed graph.
504. Implement an algorithm to compute the number of distinct cycles in a directed graph.
505. Write a program to find the longest simple path in a graph.
506. Create a function to compute the minimum number of edges needed to make a graph connected.
507. Write a program to find the longest path in a directed graph using dynamic programming.
508. Implement a function to check if a directed graph has a unique Eulerian circuit.
509. Write a program to find the minimum spanning tree of a graph using reverse delete algorithm.
510. Create a function to find the minimum cycle cover in a bipartite graph.
511. Write a program to check if a directed graph has a Hamiltonian cycle.
512. Implement an algorithm to compute the maximum weight independent set in a graph.
513. Write a program to find the shortest cycle in a directed graph.
514. Create a function to determine the minimum cut in a flow network using the Stoer-Wagner algorithm.
515. Write a program to find the longest chain of dependencies in a directed graph.
516. Implement a function to compute the betweenness centrality for a directed graph.
517. Write a program to determine the maximum distance from a vertex to all other vertices.
518. Create a function to find the shortest path in a directed graph with one negative weight edge.
519. Write a program to compute the minimum number of moves required to traverse a maze represented as a graph.
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Create a function to determine the minimum cut in a flow network using the Stoer-Wagner algorithm.
Write a program to calculate the degree distribution of a graph.
Write a program to perform a breadth-first search (BFS) in a graph and return the traversal order.
Write a program to check if a tree is a valid binary search tree.
Write a program to check if a directed graph has a unique shortest path between two vertices.
Write a program to find the maximum flow in a flow network using the Edmonds-Karp algorithm.
Write a program to implement Dijkstra's algorithm for finding the shortest path in a weighted graph.
Write a program to compute the reachability matrix of a directed graph.
Write a program to compute the betweenness centrality for all vertices in a graph.
Write a program to find the k-th shortest path in a weighted graph.
Write a program to determine if a graph is a valid tree.
Write a program to check if a graph can be colored with three colors.
Implement an algorithm to compute the convex hull of a set of points.
Write a program to find the longest cycle in a directed graph.
Write a program to compute the betweenness centrality for a graph.