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arXiv · 2403.04902

Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs

Sona Pavlikova·Daniel Sevcovic
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Abstract

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 pseudo-invertible graphs. We introduce and analyze a wide class of signable pseudo-invertible simple connected graphs. It is a generalization of the classical concept of positively integrally invertible graphs due to Godsil. We present several constructions of signable pseudo-invertible graphs. We also discuss statistical properties of various spectral indices of the class of signable pseudo-invertible graphs.

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Sona Pavlikova, Daniel Sevcovic. 2024-03-07. Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs. https://arxiv.org/abs/2403.04902

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