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https://research.matf.bg.ac.rs/handle/123456789/1549| Title: | Signed Graphs with totally disconnected Star Complements | Authors: | Stanić, Zoran | Affiliations: | Numerical Mathematics and Optimization | Keywords: | adjacency matrix;exceptional signed graph;Signed graph decomposition;signed line graph;star set | Issue Date: | 1-Jan-2021 | Rank: | M23 | Publisher: | Unión Matemática Argentina | Journal: | Revista de la Union Matematica Argentina | Abstract: | We are interested in a signed graph Ġ which admits a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph Ṡ induced by the star set. In this study we derive certain properties of Ġ; for example, we prove that the number of (distinct) eigenvalues of Ṡ does not exceed the number of those of Ġ. Some particular cases are also considered. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1549 | ISSN: | 00416932 | DOI: | 10.33044/revuma.1480 |
| Appears in Collections: | Research outputs |
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