Selected topics on applications of graph spectra

  • 174 Pages
  • 1.64 MB
  • 3882 Downloads
  • English
by
Matematički institut SANU , Beograd
Mathematics, Multiprocessors, Graph theory, Computer sc
Statementeditors [and authors] Dragoš Cvetković and Ivan Gutman
SeriesZbornik radova / Matematički institut SANU -- knj. 14(22)
ContributionsGutman, Ivan, 1947-
Classifications
LC ClassificationsQA166 .C825 2011
The Physical Object
Pagination174 p. :
ID Numbers
Open LibraryOL24844796M
ISBN 139788680593449
LC Control Number2011390167

SELECTED TOPICS ON APPLICATIONS OF GRAPH SPECTRA Editors: DragoˇsCvetkovi´c and Ivan Gutman WehavechosenthetitleSelected Topics on Applications of Graph Spectra forthenewvolume. books on graph spectra include [CvDGT], [CvRS1], [CvRS3], [CvRS4]. For any. This book gives the standard elementary material on spectra in Chapter 1.

Important applications of graph spectra involve the largest or second largest or smallest eigen-value, or interlacing, topics that are discussed in Chapters 3–4. Afterwards, special topics such as trees, groups and graphs, Euclidean representations, and strongly. Selected bibliographies on applications of the theory of graph spectra.

Description Selected topics on applications of graph spectra FB2

Multiprocessor Interconnection Networks (D. Cvetkovic, T. Davidovic). is a platform for academics to share research papers. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although.

This book provides an elementary treatment of the basic material about graph spectra, Selected topics on applications of graph spectra book for ordinary, and Laplace and Seidel spectra.

Details Selected topics on applications of graph spectra FB2

It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity, the connection between randomness and the 'eigenvalue gap', and applications.

Introduction. Basic Concepts of the Spectrum of a Graph. Operations on Graphs and the Resulting Spectra. Relations Between Spectral and Structural Properties of Graphs.

The Divisor of a Graph. The Spectrum and the Group of Automorphisms. Characterization of Graphs by Means of Spectra. Spectra Techniques in Graph Theory and Combinatories. Applications in Chemistry an Physics. Some. ISBN: OCLC Number: Description: pages: illustrations ; 24 cm: Responsibility: by Dragoš M.

Cvetković, Michael Doob and. With Robin Wilson he edited Selected Topics in Graph Theory (three volumes), Applications of Graph Theory, Graph Connections, Topics in Algebraic Graph Theory and Topics in Topological Graph Theory.

Until recently he was editor of the M. Prest Purity, Spectra and Localisation.

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For a graph G, the spectral radius ρ (G) of G is the largest eigenvalue of its adjacency matrix. The coalescence of two graphs H with a root v and K with a root w is obtained by identifying v and w from disjoint union of H and this paper, we investigate the upper bounds of the spectral radius of the coalescence of two graphs, which generalize some results by Passbani and Salemi in The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications.

However, that does not mean that the theory of graph spectra can be reduced to the theory of matrices; on the contrary, it has its Reviews: 1. Line graphs. Spectra of adjacency matrices. Applications in linear algebra. Groups and ations of graph theory in electrical engineering and computer science.

Contents of exercises: Literature; D. Cvetkovic: Combinatorial matrix theory with applications in electrical engineering, chemistry and physics, Institute of Textbooks.

Nuclear magnetic resonance (NMR) spectroscopy is one of the most powerful and widely used techniques in chemical research for investigating structures and dynamics of molecules. Advanced methods can even be utilized for structure determinations of biopolymers, for example proteins or nucleic acids.

NMR is also used in medicine for magnetic resonance imaging (MRI). Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.

This self-contained book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real.

Eigenvalues and eigenvectors of several graph matrices appear in numerous papers on various subjects relevant to information and communication technologies. In particular, we survey applications in. This book provides an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra.

It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity, the connection between randomness and the 'eigenvalue gap', and s: 2. Eigenvalues and eigenvectors of several graph matrices appear in numerous papers on various subjects relevant to information and communication technologies.

In particular, we survey applications in modeling and searching Internet, in computer vision, data mining, multiprocessor systems, statistical databases, and in several other areas.

The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications.

However, that does not mean that the theory of graph spectra can be reduced to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of. Topics In Chromatic Graph Theory by Lowell W. Beineke, Topics In Chromatic Graph Theory Books available in PDF, EPUB, Mobi Format.

Download Topics In Chromatic Graph Theory books, Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. quantum graphs. I may the book: Greogry Berkolaiko, Peter Kuchment, Introduction to Quantum Graphs, American Mathematical Society, vol, This book gives an introduction in the topic, contains reference to old and new results of the graphs theory and its applications.

(Institute) Essential Spectrum 3 / D. Cvetkovic, (eds.) Selected Topics on Applications of Graph Spectra, (Mathematical Institute Belgrade,) c,stic,Topological Approach to the Chemistry of Conjugated Molecules (Springer, Berlin,) ,The energy of a The underlying theme of the book is the relation between the eigenvalues and structure of a graph.

Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra.

This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics.

GRAPH SPECTRA IN COMPUTER SCIENCE Cvetkovic D., Doob M., Sachs H., Spectra of Graphs, Theory and Application, 3rd edition, Johann Ambrosius Barth Verlag, Heidelberg{Leipzig, The following book is devoted to complex networks. Chung F., Lu L., Complex Graphs.

The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. However, that does not mean that the theory of graph spectra can be reduced to.

Book Description. Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices.

These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used mathematical approaches in the subject. The book follows two others that they have written on more specific Graph Spectra topics, also for Cambridge University Press — Eigenspaces of Graphs and Spectral Generalizations of Line Graphs — but this is an excellent survey to read before delving into those two.

The appendices include spectra and characteristic polynomials for various. The monograph Spectra of Graphs by Cvetković, Doob, and Sachs summarised nearly all research to date in the area. In it was updated by the survey Recent Results in the Theory of Graph Spectra. The 3rd edition of Spectra of Graphs () contains a summary of the further recent contributions to the subject.

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering.

The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a. applications, including some that are typically considered advanced topics, like document classi cation, control, state estimation, and portfolio optimization.

The book does not require any knowledge of computer programming, and can be used as a conventional textbook, by reading the chapters and working the exercises.algebra, with an emphasis on its uses in the modern world.

The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry.Michael A.

Henning, A survey of selected recent results on total domination in graphs, Discrete Mathematics (), N. D. Soner, B. Chaluvaraju and B. Janakiram, Total split domination in graphs, Far East Journal of Appl.

Math. 6(1) (),