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math.CO2013★ 1 cited
Connected Components of Underlying Graphs of Halving Lines
Tanya Khovanova, Dai Yang
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 o…
math.CO2012★ 1 cited
Halving Lines and Their Underlying Graphs
Tanya Khovanova, Dai Yang
In this paper we study underlying graphs corresponding to a set of halving lines. We establish many properties of such graphs. In addition, we tighten the upper bound for the numbe…