Zubeyir Cinkir

collaborators

3 papers

math.CO2024

The Number of Spanning Trees for The Generalized Cones of $K_{n}$ , The Generalized Half Cones of $K_{m, n}$ and Some Family of Modified $K_{m, n}$

Zubeyir Cinkir

We compute the total number of spanning trees for the generalized cone of the complete graph $K_{n}$ and a number of families of some modified bipartite graphs $K_{m, n}$ . In particul…

math.CO2024

Explicit Rayleigh's Principles for Resistive Electrical Network and The Total Number of Spanning Trees of Graphs

Zubeyir Cinkir

We give identities for the voltage and resistance functions on a metrized graph to show how these functions behave under any edge deletion/contraction and the identification of any…

math.NT2024

Beyond Wolstenholme's Theorem

Zubeyir Cinkir

Wolstenholme's type summations involve certain powers of all residues $k$ modulo some prime number $p$ . We first consider the sums of double or triple products of certain powers of…

The Number of Spanning Trees for The Generalized Cones of Kn​, The Generalized Half Cones of Km,n​ and Some Family of Modified Km,n​

Explicit Rayleigh's Principles for Resistive Electrical Network and The Total Number of Spanning Trees of Graphs

Beyond Wolstenholme's Theorem

The Number of Spanning Trees for The Generalized Cones of $K_{n}$ , The Generalized Half Cones of $K_{m, n}$ and Some Family of Modified $K_{m, n}$