3 citations · 5 across the 2 of their papers we have counts for
8 papers
Sharp isoperimetric inequalities for infinite plane graphs with bounded vertex and face degrees
Byung-Geun Oh
We provide sharp bounds for the isoperimetric constants of infinite plane graphs (tessellations) with bounded vertex and face degrees. For example, if is a plane graph satisfyi…
Some criteria for circle packing types and combinatorial Gauss-Bonnet Theorem
Byung-Geun Oh
We investigate criteria for circle packing(CP) types of disk triangulation graphs embedded into simply connected domains in . In particular, by studying combinatorial…
Duality properties of strong isoperimetric inequalities on a planar graph and combinatorial curvatures
Byung-Geun Oh
This paper is about hyperbolic properties on planar graphs. First, we study the relations among various kinds of strong isoperimetric inequalities on planar graphs and their duals.…
Conformal and cp types of surfaces of class
Byung-Geun Oh
In this paper we describe how to define the circle packing (cp) type(either cp parabolic or cp hyperbolic) of a Riemann surface of class , and study the relation betwe…
A short proof of Hara and Nakai's theorem
Byung-Geun Oh
We give a short proof of the following theorem of Hara and Nakai: for a finitely bordered Riemann surface , one can find an upper bound of the corona constant of that depend…
An explicit example of Riemann surfaces with large bounds on corona solutions
Byung-Geun Oh
By modifying Cole's example, we construct explicit Riemann surfaces with large bounds on corona solutions in an elementary way.