Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917608204271616 |
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| author | Pavlikova, Sona Sevcovic, Daniel |
| author_facet | Pavlikova, Sona Sevcovic, Daniel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Qualitative, statistical and extreme properties of spectral indices of signable pseudo-invertible graphs Pavlikova, Sona Sevcovic, Daniel Combinatorics Spectral Theory 05C50, 05B20, 05C22, 15A09, 15A18, 15B36 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 |
| topic | Combinatorics Spectral Theory 05C50, 05B20, 05C22, 15A09, 15A18, 15B36 |
| url | https://arxiv.org/abs/2403.04902 |