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First iterate through each attribute and object, while tracking the first object to have a specific attribute value. When we build out the undirected graph, future objects with the same attribute/value are given edges to connect them.
Building the graph is O(m*n).
Then iterate through the graph by vertices using a "mark and sweep strategy". Each pass through the graph uses a new unique id. These ids will find all clusters.
Finally convert the graph back into an array of clusters by iterating through the vertices and keeping an array for each found cluster id.
- venar303 December 04, 2017