Fixed edge-length graph drawing is NP-hard

  title={Fixed edge-length graph drawing is NP-hard},
  author={Peter Eades and Nicholas C. Wormald},
  journal={Discrete Applied Mathematics},
The problem of drawing a graph with prescribed edge lengths such that edges do not cross is proved NP-hard, even in the case where all edge lengths are one and the graph is 2-connected. The proof is an interesting interplay of geometry and combinatorics. First we use geometrical methods to transform a rather synthetic “Orientation Problem” to our graph drawing problem; then we use combinatorial methods to transform a well-known “Flow Problem” to the orientation problem. 


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