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need to find the largest disjoint set from 56 sets
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This is the largest set of non-overlapping shapes selected from a given set of candidates who are well organised.
Given a set of 56, an approximation to MDS(C) can be found by the following
I have opted to use greedy algorithm
- Initialize an empty set, S.
- SEARCH: For every shape x in 56:
- Calculate N(x) - the subset of all shapes in C that intersect x (including x itself).
- Calculate the largest independent set in this subset: MDS(N(x)).
- Select an x such that |MDS(N(x))| is minimized.
- Add x to S.
- Remove x and N(x) from C.
- If there are shapes in C, go back to Search.
- END: return the set S.
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