Laplacian Eigenvectors of Graphs
Perron-Frobenius and Faber-Krahn Type Theorems
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) Geometric properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenve…
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Produktdetails
Weitere Autoren: Leydold, Josef / Stadler, Peter F.
- ISBN: 978-3-540-73509-0
- EAN: 9783540735090
- Produktnummer: 16457995
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2007
- Seitenangabe: 115 S.
- Masse: H23.8 cm x B15.4 cm x D1.5 cm 223 g
- Abbildungen: Book; 35 Schwarz-Weiß- Abbildungen, 35 Schwarz-Weiß- Zeichnungen, 3 Schwarz-Weiß- Tabellen
- Reihenbandnummer: 1915
- Gewicht: 223
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Laplacian Eigenvectors of Graphs
Perron-Frobenius and Faber-Krahn Type Theorems
Perron-Frobenius and Faber-Krahn Type Theorems
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