Minimal Steiner Trees for 2k×2k Square Lattices

@article{Brazil1996MinimalST,
  title={Minimal Steiner Trees for 2k×2k Square Lattices},
  author={M. Brazil and T. Cole and J. Rubinstein and Doreen A. Thomas and J. Weng and N. Wormald},
  journal={J. Comb. Theory, Ser. A},
  year={1996},
  volume={73},
  pages={91-110}
}
We prove a conjecture of Chung, Graham, and Gardner (Math. Mag.62(1989), 83?96), giving the form of the minimal Steiner trees for the set of points comprising the vertices of a 2k×2ksquare lattice. Each full component of these minimal trees is the minimal Steiner tree for the four vertices of a square. 
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