A formula for the spectra of differential operators on graphs
| Autor: | R. S. Ismagilov |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Pseudoforest Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Comparability graph Graph theory Combinatorics Modular decomposition Indifference graph Chordal graph TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY Independent set ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Graph homomorphism Analysis MathematicsofComputing_DISCRETEMATHEMATICS Mathematics |
| Zdroj: | Functional Analysis and Its Applications. 46:94-99 |
| ISSN: | 1573-8485 0016-2663 |
| Popis: | We consider a connected undirected finite graph and a spectral problem generated by the double differentiation of functions on its edges (under usual conditions on the vertices ensuring the self-adjointness of the problem). We introduce, in a standard way, an entire function vanishing at the nonzero eigenvalues of the problem and give an explicit formula for this function, which involves graphs (introduced by V. I. Arnold) generated by a self-mapping of a finite set. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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