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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…
math.CO2023
norm minimization for nowhere-zero integer eigenvectors of the block graphs of Steiner triple systems and Johnson graphs
E. A. Bespalov, I. Yu. Mogilnykh, K. V. Vorob'ev
We study nowhere-zero integer eigenvectors of the block graphs of Steiner triple systems and the Johnson graphs. For the first eigenvalue we obtain the minimums of -nor…