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.
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Yes, finding the longest path in a graph is an NP-complete problem.
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.
The longest path in a directed acyclic graph is the path with the greatest total weight or distance between two vertices, without repeating any vertices or going in a cycle.
The complexity of solving the k-color problem on a given graph is NP-complete.
No, not every possible minimal spanning tree of a given graph has an identical number of edges.