Covering Graphs Using Trees and Stars

@inproceedings{Even2003CoveringGU,
  title={Covering Graphs Using Trees and Stars},
  author={Guy Even and Naveen Garg and Jochen K{\"o}nemann and Ramamoorthi Ravi and Amitabh Sinha},
  booktitle={RANDOM-APPROX},
  year={2003}
}
A tree cover of a graph G is defined as a collection of trees such that their union includes all the vertices of G. The cost of a tree cover is the weight of the maximum weight tree in the tree cover. Given a positive integer k, the k-tree cover problem is to compute a minimum cost tree cover which has no more than k trees. Star covers are defined analogously. Additionally, we may also be provided with a set of k vertices which are to serve as roots of the trees or stars. In this paper, we… 

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