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Topics in Graph Automorphisms and Reconstruction

Topics in Graph Automorphisms and Reconstruction
Author: Josef Lauri
Publisher: Cambridge University Press
Total Pages: 207
Release: 2016-06-02
Genre: Mathematics
ISBN: 1316610446

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An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.


Graph-Theoretic Concepts in Computer Science

Graph-Theoretic Concepts in Computer Science
Author: Daniël Paulusma
Publisher: Springer Nature
Total Pages: 491
Release: 2023-09-22
Genre: Mathematics
ISBN: 3031433807

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This volume constitutes the thoroughly refereed proceedings of the 49th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2023. The 33 full papers presented in this volume were carefully reviewed and selected from a total of 116 submissions. The WG 2022 workshop aims to merge theory and practice by demonstrating how concepts from graph theory can be applied to various areas in computer science, or by extracting new graph theoretic problems from applications.


Aspects of Network and Information Security

Aspects of Network and Information Security
Author: NATO Science for Peace and Security Programme
Publisher: IOS Press
Total Pages: 368
Release: 2008-06-24
Genre: Computers
ISBN: 1607503263

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Network security is concerned with creating a secure inter-connected network that is designed so that on the one hand, users cannot perform actions that they are not allowed to perform, but on the other hand, can perform the actions that they are allowed to. Network security not only involves specifying and implementing a security policy that describes access control, but also implementing an Intrusion Detection System as a tool for detecting attempted attacks or intrusions by crackers or automated attack tools and identifying security breaches such as incoming shellcode, viruses, worms, malware and trojan horses transmitted via a computer system or network. Today’s computer infrastructure is exposed to several kinds of security threats ranging from virus attacks, unauthorised data access, sniffing and password cracking. Understanding network vulnerabilities in order to protect networks from external and internal threats is vital to the world’s economy and should be given the highest priority. Computer and network security involves many important and complicated issues and this gathering of scientists will help not only in raising awareness but also in teaching participants the state-of-the-art of security techniques. Topics in network security, information security and coding are discussed in this volume.


Graphs, Algorithms, and Optimization, Second Edition

Graphs, Algorithms, and Optimization, Second Edition
Author: William Kocay
Publisher: CRC Press
Total Pages: 543
Release: 2016-11-03
Genre: Mathematics
ISBN: 1482251256

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The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?


Random Graphs, Geometry and Asymptotic Structure

Random Graphs, Geometry and Asymptotic Structure
Author: Michael Krivelevich
Publisher: Cambridge University Press
Total Pages: 129
Release: 2016-04-25
Genre: Mathematics
ISBN: 1316552942

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The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of the formative study of young combinatorialists and probabilists. Moreover, the theory itself, even in its most basic forms, is often considered too advanced to be part of undergraduate curricula, and those who are interested usually learn it mostly through self-study, covering a lot of its fundamentals but little of the more recent developments. This book provides a self-contained and concise introduction to recent developments and techniques for classical problems in the theory of random graphs. Moreover, it covers geometric and topological aspects of the theory and introduces the reader to the diversity and depth of the methods that have been devised in this context.


Computer Mathematics

Computer Mathematics
Author: Deepak Kapur
Publisher: Springer
Total Pages: 369
Release: 2008-09-22
Genre: Computers
ISBN: 3540878270

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This book constitutes thoroughly refereed post-conference proceedings of the 8th Asian Symposium on Computer Mathematics, ASCM 2007, held in Singapore in December 2007. The 22 revised full papers and 5 revised poster papers presented together with 3 invited lectures were carefully selected during two rounds of reviewing and improvement from 65 submissions. The papers are organized in topical sections on algorithms and implementations, numerical methods and applications, cryptology, and computational logic.


Algebraic Graph Theory

Algebraic Graph Theory
Author: Ulrich Knauer
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 349
Release: 2019-10-08
Genre: Mathematics
ISBN: 3110617366

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Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.


Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

Isomorphisms, Symmetry and Computations in Algebraic Graph Theory
Author: Gareth A. Jones
Publisher: Springer Nature
Total Pages: 234
Release: 2020-01-10
Genre: Mathematics
ISBN: 3030328082

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This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to symmetries of graphs and isomorphism testing. Algebraic combinatorics is a compelling mathematical discipline based on the powerful interplay of algebraic and combinatorial methods. Algebraic interpretation of combinatorial structures (such as symmetry or regularity) has often led to enlightening discoveries and powerful results, while discrete and combinatorial structures have given rise to new algebraic structures that have found valuable applications. In addition to these original research contributions, the reader will find a survey linking numerous threads in algebraic combinatorics, and an extensive tutorial showcasing the universality of algebraic methods in the study of combinatorial structures.


Discrete Quantum Walks on Graphs and Digraphs

Discrete Quantum Walks on Graphs and Digraphs
Author: Chris Godsil
Publisher: Cambridge University Press
Total Pages: 152
Release: 2023-01-12
Genre: Mathematics
ISBN: 1009261703

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Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm. These walks are constructed on an underlying graph, and so there is a relation between properties of walks and properties of the graph. This book studies the mathematical problems that arise from this connection, and the different classes of walks that arise. Written at a level suitable for graduate students in mathematics, the only prerequisites are linear algebra and basic graph theory; no prior knowledge of physics is required. The text serves as an introduction to this important and rapidly developing area for mathematicians and as a detailed reference for computer scientists and physicists working on quantum information theory.