Comments on 'On Integral Graphs Which Belong to the Class $$\overline{\alpha K_{a,b}}$$' [Graphs Comb. 19, 527–532 (2003)]
| Autor: | Milan Pokorný, Dragan Stevanović |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Overline Spectrum (functional analysis) 0211 other engineering and technologies 021107 urban & regional planning 0102 computer and information sciences 02 engineering and technology Characterization (mathematics) 01 natural sciences Theoretical Computer Science Combinatorics Alpha (programming language) 010201 computation theory & mathematics Discrete Mathematics and Combinatorics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Graphs and Combinatorics. 36:1263-1268 |
| ISSN: | 1435-5914 0911-0119 |
| DOI: | 10.1007/s00373-020-02180-x |
| Popis: | Lepovic gave a characterization of integral graphs of the form $$\overline{\alpha K_{a,b}}$$ in “On Integral Graphs Which Belong to the Class $$\overline{\alpha K_{a,b}}$$” [Graphs Comb. 19, 527–532 (2003)]. However, for majority of the graphs $$\overline{\alpha K_{a,b}}$$ declared to be integral in this result, their spectrum also includes non-integer eigenvalues $$-1\pm \sqrt{ab}$$. Here we correct this result and indicate that integral graphs of this form are indeed very rare. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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