2 papers
math.CO2025
On strong nodal domains for eigenfunctions of Hamming graphs
Alexandr Valyuzhenich, Konstantin Vorob'ev
The Laplacian matrix of the -dimensional hypercube has distinct eigenvalues , where . In 2004, Bıyıkoğlu, Hordijk, Leydold, Pisanski and Stadler initiat…
math.CO2023
Some results on the Wiener index related to the Šoltés problem of graphs
Andrey A. Dobrynin, Konstantin V. Vorob'ev
The Wiener index, , of a connected graph is the sum of distances between its vertices. In 2021, Akhmejanova et al. posed the problem of finding graphs with large $R_m…