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Connected Components of Underlying Graphs of Halving Lines

Combinatorics 2013-04-23 v1

Abstract

In this paper we discuss the connected components of underlying graphs of halving lines' configurations. We show how to create a configuration whose underlying graph is the union of two given underlying graphs. We also prove that every connected component of the underlying graph is itself an underlying graph.

Keywords

Cite

@article{arxiv.1304.5658,
  title  = {Connected Components of Underlying Graphs of Halving Lines},
  author = {Tanya Khovanova and Dai Yang},
  journal= {arXiv preprint arXiv:1304.5658},
  year   = {2013}
}

Comments

8 pages, 4 figures