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math.CO2024
Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs
Sona Pavlikova, Daniel Sevcovic
In this paper, we investigate the Moore-Penrose inversion of a simple connected graph. We analyze qualitative, statistical, and extreme properties of spectral indices of signable p…
math.CO2023
Extreme and statistical properties of eigenvalue indices of simple connected graphs
Sona Pavlikova, Daniel Sevcovic, Jozef Siran
We analyze graphs attaining the extreme values of various spectral indices in the class of all simple connected graphs, as well as in the class of graphs which are not complete mul…
math.CO2016
Invertibility of graphs with a unique perfect matching
Sona Pavlikova, Daniel Sevcovic
In this paper we investigate invertibility of graphs with a unique perfect matching, i.e. graphs having a unique 1-factor. We recall the new notion of the so-called negatively inve…