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Spectral Radius of Graphs by Dragan Stevanovic (Mathematical Institute, Serbian Academy of Science and Arts, Belgrade, Serbia and<br>University of Primorska, Koper, Slovenia.) at Abbey's Bookshop,
Spectral Radius of Graphs
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Dragan Stevanovic (Mathematical Institute, Serbian Academy of Science and Arts, Belgrade, Serbia and<br>University of Primorska, Koper, Slovenia.)

Spectral Radius of Graphs

Dragan Stevanovic (Mathematical Institute, Serbian Academy of Science and Arts, Belgrade, Serbia and<br>University of Primorska, Koper, Slovenia.)

$63.95

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English
Academic Press Inc
24 September 2014
Combinatorics & graph theory
Spectral Radius of Graphs provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. The primer begins with a brief classical review, in order to provide the reader with a foundation for the subsequent chapters. Topics covered include spectral decomposition, the Perron-Frobenius theorem, the Rayleigh quotient, the Weyl inequalities, and the Interlacing theorem. From this introduction, the book delves deeper into the properties of the principal eigenvector; a critical subject as many of the results on the spectral radius of graphs rely on the properties of the principal eigenvector for their proofs. A following chapter surveys spectral radius of special graphs, covering multipartite graphs, non-regular graphs, planar graphs, threshold graphs, and others. Finally, the work explores results on the structure of graphs having extreme spectral radius in classes of graphs defined by fixing the value of a particular, integer-valued graph invariant, such as: the diameter, the radius, the domination number, the matching number, the clique number, the independence number, the chromatic number or the sequence of vertex degrees.

Throughout, the text includes the valuable addition of proofs to accompany the majority of presented results. This enables the reader to learn tricks of the trade and easily see if some of the techniques apply to a current research problem, without having to spend time on searching for the original articles. The book also contains a handful of open problems on the topic that might provide initiative for the reader's research.
By:  
Imprint:   Academic Press Inc
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 151mm,  Spine: 9mm
Weight:   240g
ISBN:   9780128020685
ISBN 10:   0128020687
Pages:   166
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
1. Introduction2. Properties of the principal eigenvector3. Spectral radius of special graphs4. Extremal graphs for the spectral radius

Reviews for Spectral Radius of Graphs

"""It covers topics of great interest which are attractive not only to researchers in graph theory, but also to other specialists. Therefore, especially for a researcher in the field, this monograph is a must-buy!"" --Zentralblatt MATH"


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