Spectral Radius of Graphs

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  • Author : Dragan Stevanovic
  • Publisher : Academic Press
  • Pages : 166 pages
  • ISBN : 0128020970
  • Rating : /5 from reviews
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Download or Read online Spectral Radius of Graphs full in PDF, ePub and kindle. this book written by Dragan Stevanovic and published by Academic Press which was released on 13 October 2014 with total page 166 pages. We cannot guarantee that Spectral Radius of Graphs book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author.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. Dedicated coverage to one of the most prominent graph eigenvalues Proofs and open problems included for further study Overview of classical topics such as spectral decomposition, the Perron-Frobenius theorem, the Rayleigh quotient, the Weyl inequalities, and the Interlacing theorem

Spectral Radius of Graphs

Spectral Radius of Graphs
  • Author : Dragan Stevanovic
  • Publisher : Academic Press
  • Release : 13 October 2014
GET THIS BOOK Spectral Radius of Graphs

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,

Spectral Radius and Signless Laplacian Spectral Radius of K connected Graphs

Spectral Radius and Signless Laplacian Spectral Radius of K connected Graphs
  • Author : Peng Huang
  • Publisher : Unknown
  • Release : 03 October 2022
GET THIS BOOK Spectral Radius and Signless Laplacian Spectral Radius of K connected Graphs

The adjacency matrix of a graph is a (0, 1)-matrix indexed by the vertex set of the graph. And the signless Laplacian matrix of a graph is the sum of its adjacency matrix and its diagonal matrix of vertex degrees. The eigenvalues and the signless Laplacian eigenvalues of a graph are the eigenvalues of the adjacency matrix and the signless Laplacian matrix, respectively. These two matrices of a graph have been studied for several decades since they have been applied to

Graph Theoretic Problems and Their New Applications

Graph Theoretic Problems and Their New Applications
  • Author : Frank Werner
  • Publisher : MDPI
  • Release : 27 May 2020
GET THIS BOOK Graph Theoretic Problems and Their New Applications

Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers

Combinatorial Algorithms

Combinatorial Algorithms
  • Author : Thierry Lecroq,Laurent Mouchard
  • Publisher : Springer
  • Release : 26 November 2013
GET THIS BOOK Combinatorial Algorithms

This book constitutes the thoroughly refereed post-workshop proceedings of the 24th International Workshop on Combinatorial Algorithms, IWOCA 2013, held in Rouen, France, in July 2013. The 33 revised full papers presented together with 10 short papers and 5 invited talks were carefully reviewed and selected from a total of 91 submissions. The papers are organized in topical sections on algorithms on graphs; algorithms on strings; discrete geometry and satisfiability.

Structures of Domination in Graphs

Structures of Domination in Graphs
  • Author : Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Henning
  • Publisher : Springer Nature
  • Release : 04 May 2021
GET THIS BOOK Structures of Domination in Graphs

This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of

Locating Eigenvalues in Graphs

Locating Eigenvalues in Graphs
  • Author : Carlos Hoppen,David P. Jacobs,Vilmar Trevisan
  • Publisher : Springer Nature
  • Release : 21 September 2022
GET THIS BOOK Locating Eigenvalues in Graphs

This book focuses on linear time eigenvalue location algorithms for graphs. This subject relates to spectral graph theory, a field that combines tools and concepts of linear algebra and combinatorics, with applications ranging from image processing and data analysis to molecular descriptors and random walks. It has attracted a lot of attention and has since emerged as an area on its own. Studies in spectral graph theory seek to determine properties of a graph through matrices associated with it. It

Discrete Mathematics and Symmetry

Discrete Mathematics and Symmetry
  • Author : Angel Garrido
  • Publisher : MDPI
  • Release : 05 March 2020
GET THIS BOOK Discrete Mathematics and Symmetry

Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of

Surveys in Combinatorics 2011

Surveys in Combinatorics 2011
  • Author : Robin Chapman
  • Publisher : Cambridge University Press
  • Release : 23 June 2011
GET THIS BOOK Surveys in Combinatorics 2011

This volume contains nine survey articles based on the invited lectures given at the 23rd British Combinatorial Conference, held at Exeter in July 2011. This biennial conference is a well-established international event, with speakers from all over the world. By its nature, this volume provides an up-to-date overview of current research activity in several areas of combinatorics, including extremal graph theory, the cyclic sieving phenomenon and transversals in Latin squares. Each article is clearly written and assumes little prior knowledge on

Quantitative Logic and Soft Computing 2016

Quantitative Logic and Soft Computing 2016
  • Author : Tai-He Fan,Shui-Li Chen,San-Min Wang,Yong-Ming Li
  • Publisher : Springer
  • Release : 21 September 2016
GET THIS BOOK Quantitative Logic and Soft Computing 2016

This book is the proceedings of the Fourth International Conference on Quantitative Logic and Soft Computing (QLSC2016) held 14-17, October, 2016 in Zhejiang Sci-Tech University, Hangzhou, China. It includes 61 papers, of which 5 are plenary talks( 3 abstracts and 2 full length talks). QLSC2016 was the fourth in a series of conferences on Quantitative Logic and Soft Computing. This conference was a major symposium for scientists, engineers and practitioners to present their updated results, ideas, developments and applications in all areas of quantitative logic