A note on Merris' conjectures (Q1807871)
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scientific article; zbMATH DE number 1367979
| Language | Label | Description | Also known as |
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| English | A note on Merris' conjectures |
scientific article; zbMATH DE number 1367979 |
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A note on Merris' conjectures (English)
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23 November 1999
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Some conjectures of \textit{R. Merris} [Linear Algebra Appl. 197/198, 143-176 (1994; Zbl 0802.05053)] concerning majorizations between degree sequence and Laplacian eigenvalue sequence of a graph are considered. The conjectures are proved for some special classes of graphs (e.g., threshold graphs, trees, regular graphs).
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degree sequence
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Laplacian eigenvalue sequence
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threshold graphs
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trees
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regular graphs
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