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https://research.matf.bg.ac.rs/handle/123456789/1384| Title: | A complete characterization of graphs with exactly two positive eigenvalues | Authors: | Duan, Fang Huang, Qiongxiang X. Huang, Xueyi Y. Stanić, Zoran Wang, Jianfeng F. |
Affiliations: | Numerical Mathematics and Optimization | Keywords: | Congruent vertex;Forbidden subgraph;Nullity;Positive (negative) inertia index | Issue Date: | 1-Mar-2023 | Rank: | M22 | Publisher: | Elsevier | Journal: | Advances in Applied Mathematics | Abstract: | In 1977, Smith has characterized graphs with exactly one positive eigenvalue. Since then, many particular results related to graphs with exactly two positive eigenvalues have emerged. In this paper we conclude this investigation by giving a full characterization of these graphs. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1384 | ISSN: | 01968858 | DOI: | 10.1016/j.aam.2022.102457 | Rights: | Attribution-NonCommercial-NoDerivs 3.0 United States |
| Appears in Collections: | Research outputs |
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| File | Description | Size | Format | Existing users please |
|---|---|---|---|---|
| TwoPosEigs.pdf | 692.5 kB | Adobe PDF | Embargoed until April 1, 2025 Request a copy |
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