To start Prim's algorithm, create an empty list called 'visited' to track touched nodes, then pick an arbitrary starting node and add it to the visited list.
Conditions: The graph is weighted and connected.; You have a mechanism to track visited vertices (e.g., a list or set).
To start Prim's algorithm, create an empty list called 'visited' to track touched nodes, then pick an arbitrary starting node and add it to the visited list.
Conditions: The graph is weighted and connected.; You have a mechanism to track visited vertices (e.g., a list or set).
A minimum spanning tree (MST) is a connected, acyclic subgraph that spans all vertices of a weighted graph and has the minimum possible total edge weight.
Conditions: The underlying graph must be weighted.; The graph must be connected for a spanning tree to exist.; The MST minimizes the sum of selected edge weights.; The MST contains no cycles.
A minimum spanning tree (MST) is a connected, acyclic subgraph that spans all vertices of a weighted graph and has the minimum possible total edge weight.
Conditions: The underlying graph must be weighted.; The graph must be connected for a spanning tree to exist.; The MST minimizes the sum of selected edge weights.; The MST contains no cycles.