Exact Weight Subgraphs and the k-Sum Conjecture

@inproceedings{Abboud2013ExactWS,
  title={Exact Weight Subgraphs and the k-Sum Conjecture},
  author={Amir Abboud and Kevin Lewi},
  booktitle={ICALP},
  year={2013}
}
We consider the Exact-Weight-H problem of finding a (not necessarily induced) subgraph H of weight 0 in an edge-weighted graph G. We show that for every H, the complexity of this problem is strongly related to that of the infamous k-sum problem. In particular, we show that under the k-sum Conjecture, we can achieve tight upper and lower bounds for the Exact-Weight-H problem for various subgraphs H such as matching, star, path, and cycle. One interesting consequence is that improving on the O… 
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