Spectral characterizations of the Lovász number and the Delsarte number of a graph (Q1592957)
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scientific article; zbMATH DE number 1553308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral characterizations of the Lovász number and the Delsarte number of a graph |
scientific article; zbMATH DE number 1553308 |
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Spectral characterizations of the Lovász number and the Delsarte number of a graph (English)
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10 May 2001
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Spectral characterizations of two closely related graph functions are given: the Lovász number (the theta function) \(\vartheta \) and a generalization \(\vartheta^1\) of Delsarte's linear programming bound. These characterizations involve the largest eigenvalue of a type of weighted Laplacian that \textit{F. R. K. Chung} introduced in her book [Spectral graph theory (Regional Conference Series in Mathematics. 92, Providence, RI: American Mathematical Society) (1997; Zbl 0867.05046)].
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graph Laplacian
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independence number
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Lovász number
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theta function
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Delsarte linear programming bound
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