Balanced vertex-orderings of graphs

@article{Biedl2005BalancedVO,
  title={Balanced vertex-orderings of graphs},
  author={Therese C. Biedl and Timothy M. Chan and Yashar Ganjali and Mohammad Taghi Hajiaghayi and David R. Wood},
  journal={Discrete Applied Mathematics},
  year={2005},
  volume={148},
  pages={27-48}
}
In this paper we consider the problem of determining a balanced ordering of the vertices of a graph; that is, the neighbors of each vertex v are as evenly distributed to the left and right of v as possible. This problem, which has applications in graph drawing for example, is shown to be NP-hard, and remains NP-hard for bipartite simple graphs with maximum degree six. We then describe and analyze a number of methods for determining a balanced vertex-ordering, obtaining optimal orderings for… CONTINUE READING

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