3 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
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…