A. Guterman

collaborators

4 papers

math.CO2026

On the computations of the Cullis' determinant

Alexander Guterman, Andrey Yurkov

The Cullis' determinant is a generalization of the ordinary determinant for rectangular matrices. It is defined as the alternating sum of maximal minors of a given matrix. In this…

math.CO2026

Extremal problems on the $p$ -Seidel energy of graphs

Alexander Guterman, Shib Sankar Saha

Let $G$ be a graph with vertex set ${v_{1}, \dots, v_{n}}$ . The Seidel matrix of $G$ is an $n \times n$ matrix whose diagonal entries are zero, $ij$ -th entry is $- 1$ if $v_{i}$ and $v_{j}$ …

math.CO2026

Characterizing uniform hypergraphs via Seidel matrix and Seidel energy

Alexander Guterman, Shib Sankar Saha

The Seidel energy is defined as the sum of the absolute values of the eigenvalues of the Seidel matrix of a hypergraph. We first characterize the k-uniform hypergraphs of fixed ord…

math.CO2026

Hamiltonian Sets of Polygonal Paths in Assembly Graphs

A. Guterman, N. Jonoska, E. Kreines +2

We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…

On the computations of the Cullis' determinant

Extremal problems on the p-Seidel energy of graphs

Characterizing uniform hypergraphs via Seidel matrix and Seidel energy

Hamiltonian Sets of Polygonal Paths in Assembly Graphs

Extremal problems on the $p$ -Seidel energy of graphs