How to find id of union find operation
I am studying Union Find.
I understand how these union operations come together to make this graph but I do not understand how the ID variable is assigned. At first, I thought it was the size of each graph but this is not true because the size of the first graph is 5 and the size of the second one is 3. Any help would be appreciated.
Solution
Normally in the array ID, the index represents a node of any of the graphs and the associated value is the root of the graph that belongs to. So in the example here:
- The node 0 (firs element) is associated with 6, because 0 belongs to a graph where 6 is the root.
- The node 1 is also associated with 6, because 1 belongs to a graph where 6 is the root.
- [...]
- In the same way, 4, 5 7 are associated to 4 because these nodes belong to the graph where 4 is the root.
It's a way to quickly identify if two nodes are connected
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