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It is hard to know when greedy is good for finding independent sets

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K2v2v3v4v1v0v5K1

K3

GG’xyReal vertexDummy vertexAdditional vertex

A vertex of I

k+|E(G)|verticespkverticescliquek+|E(G)|+|V(G’)|+1subgraphA

subgraphB

verticessubgraphC

subgraphDsubgraphE

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