8 citations · 48 across the 76 of their papers we have counts for
4 papers · 2 filters
Fission of Halving Edges Graphs
Tanya Khovanova, Dai Yang
In this paper we discuss an operation on halving edges graph that we call fission. Fission replaces each point in a given configuration with a small cluster of k points. The operat…
Convex geometric (k+2)-quasiplanar representations of semi-bar k-visibility graphs
Jesse Geneson, Tanya Khovanova, Jonathan Tidor
We examine semi-bar visibility graphs in the plane and on a cylinder in which sightlines can pass through k objects. We show every semi-bar k-visibility graph has a (k+2)-quasiplan…
Skyscraper Numbers
Tanya Khovanova, Joel Brewster Lewis
We introduce numbers depending on three parameters which we call skyscraper numbers. We discuss properties of these numbers and their relationship with Stirling numbers of the firs…
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…