7 citations · 22 across the 19 of their papers we have counts for
6 papers · 1 filter
Volumes of n-simplices with vertices on a polynomial space curve
Zubeyir Cinkir
In this paper, we give a formula for the area of the triangle formed by the vertices that live on a given polynomial, and we generalize this formula to the volumes of -simplices…
Generalized Foster's identities
Zubeyir Cinkir
Foster's network theorems and their extensions to higher orders involve resistance values and conductances. We establish identities concerning voltage values and conductances. Our…
The tau constant and the discrete Laplacian matrix of a metrized graph
Zubeyir Cinkir
We express the tau constant of a metrized graph in terms of the discrete Laplacian matrix and its pseudo inverse.
Zhang's Conjecture and the Effective Bogomolov Conjecture over function fields
Zubeyir Cinkir
We prove the Effective Bogomolov Conjecture, and so the Bogomolov Conjecture, over a function field of characteristic 0 by proving Zhang's Conjecture about certain invariants of me…
The tau constant and the edge connectivity of a metrized graph
Zubeyir Cinkir
The tau constant is an important invariant of a metrized graph, and it has applications in arithmetic properties of curves. We show how the tau constant of a metrized graph changes…
The tau constant of a metrized graph and its behavior under graph operations
Zubeyir Cinkir
This paper concerns the tau constant, which is an important invariant of a metrized graph, and which has applications to arithmetic properties of curves. We give several formulas f…