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Contraction Formulas For Kirchhoff And Wiener Indices
Zubeyir Cinkir
We establish several contraction formulas for Kirchhoff index. We relate Kirchhoff index with some other metrized graph invariants. By applying our contraction formulas successivel…
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…
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.
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…