1 citations · 1 across the 6 of their papers we have counts for
7 papers
Some Examples of Graphs Suggesting That the Discrete Curvature Does Sense the Smooth One
Gökçe Çakmak, Ali Deniz, Şahin Koçak +1
In this note, using some regular triangular tilings of the sphere, the Euclidean plane and the hyperbolic plane, we examine the potential relationship between their discrete Bakry…
Fractals as Sculptures
Şahin Koçak
The attractors of iterated function systems are usually obtained as the Hausdorff limit of any non-empty compact subset under iteration. In this note we show that an iterated funct…
A Weighted-Graph Curvature Calculator and Whether the Discrete Curvature Senses the Smooth One
Gökçe Çakmak, Ali Deniz, Şahin Koçak +1
We investigate whether there is a relationship between the discrete Bakry-Émery curvature of a graph and the smooth curvature of an ambient surface into which the graph is embedded…
Graph-Directed Sprays and Their Tube Volumes via Functional Equations
Derya Çelik, Şahin Koçak, Yunus Özdemir +1
The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we propose a more general concept of s…
Tight Span of Path Connected Subsets of the Manhattan Plane
Mehmet Kiliç, Şahin Koçak
We show that the tight span of a path connected subset of the Manhattan plane can be constructed in a very simple way by "hatching" the subset in horizontal and vertical directions…
Tight Span of Subsets of The Plane With The Maximum Metric
Mehmet Kiliç, Şahin Koçak
We prove that a nonempty closed and geodesically convex subset of the plane is hyperconvex and we characterize the tight spans of arbitrary sub…