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Abstract
In this paper we study halving-edges graphs corresponding to a set of halving lines.
Particularly, we study the vertex degrees, path, cycles and cliques of such graphs. In
doing so, we study a vertex-partition of said graph called chains which are equipped
with interesting properties.
Keywords
combinatorics, halving lines, combinatorial geometry,
discrete math
Mathematical Subject Classification 2010
Primary: 05C30
Milestones
Received: 28 April 2013
Revised: 28 September 2014
Accepted: 17 October 2016
Published: 17 July 2017
Communicated by Kenneth S. Berenhaut