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

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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.  
Title: Qualitative, statistical, and extreme properties of spectral indices of signable pseudo-invertible graphs
Description:
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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