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Is finding the longest path in a graph an NP-complete problem?
Yes, finding the longest path in a graph is an NP-complete problem.
What is the algorithm to find the longest increasing path in a matrix?
The algorithm to find the longest increasing path in a matrix is called the Longest Increasing Path in a Matrix (LIP) algorithm. It involves using dynamic programming to recursively search for the longest increasing path starting from each cell in the matrix. The algorithm keeps track of the length of the longest increasing path found so far and updates it as it explores different paths.
What is the longest simple path that can be found in a given graph?
The longest simple path in a graph is the path that does not repeat any vertices and has the most number of edges between two distinct vertices.
What is the longest path in a Directed Acyclic Graph (DAG)?
In a Directed Acyclic Graph (DAG), the longest path is the path with the greatest number of edges between two vertices, without forming a cycle.
What is the longest path in a tree and how is it determined?
The longest path in a tree is called the diameter. It is determined by finding the two farthest nodes in the tree and calculating the distance between them.
