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Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn Type Theorems (Paperback, 2007 ed.) Loot Price: R1,276
Discovery Miles 12 760
Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn Type Theorems (Paperback, 2007 ed.): Turker Biyikoglu,...

Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn Type Theorems (Paperback, 2007 ed.)

Turker Biyikoglu, Josef Leydold, Peter F. Stadler

Series: Lecture Notes in Mathematics, 1915

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Loot Price R1,276 Discovery Miles 12 760 | Repayment Terms: R120 pm x 12*

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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 Schrodinger 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 eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.

The volume investigates the structure of eigenvectors and looks at the number of their sign graphs ( nodal domains ), Perron components, graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology."

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1915
Release date: July 2007
First published: 2007
Authors: Turker Biyikoglu • Josef Leydold • Peter F. Stadler
Dimensions: 235 x 155 x 8mm (L x W x T)
Format: Paperback
Pages: 120
Edition: 2007 ed.
ISBN-13: 978-3-540-73509-0
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
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LSN: 3-540-73509-7
Barcode: 9783540735090

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