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Laplacian eigenvectors of graphs : Perron-Frobenius and Faber-Krahn type theorems

Author: Türker Bıyıkoğlu; Josef Leydold; Peter F Stadler
Publisher: Berlin ; New York : Springer, ©2007.
Series: Lecture notes in mathematics (Springer-Verlag), 1915.
Edition/Format:   Print book : EnglishView all editions and formats
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This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Türker Bıyıkoğlu; Josef Leydold; Peter F Stadler
ISBN: 9783540735090 3540735097 9783540735106 3540735100
OCLC Number: 164393719
Description: viii, 115 pages : illustrations ; 24 cm.
Contents: Introduction --
Graph Laplacians --
Eigenfunctions and nodal domains --
Nodal domain theorems for special graph classes --
Computational experiments --
Faber-Krahn type inequalities.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1915.
Responsibility: Türker Bıyıkoğlu, Josef Leydold, Peter F. Stadler.
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From the reviews:"This is an interesting ... book about a very specialized topic in spectral graph theory, namely the eigenvectors of the (generalized) Laplacian matrices of graphs. ... Overall I Read more...

 
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