graph theory as i have known it oxford lecture series in mathematics and its applications

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Graph Theory As I Have Known It

Author : W. T. Tutte
ISBN : 9780199660551
Genre : Mathematics
File Size : 85. 56 MB
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A unique introduction to graph theory, written by one of the founding fathers. Professor William Tutte, codebreaker and mathematician, details his experiences in the area and provides a fascinating insight into the processes leading to his proofs.

Homogenization Of Multiple Integrals

Author : Andrea Braides
ISBN : 019850246X
Genre : Mathematics
File Size : 29. 88 MB
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The object of homogenization theory is the description of the macroscopic properties of structures with fine microstructure, covering a wide range of applications that run from the study of properties of composites to optimal design. The structures under consideration may model cellular elastic materials, fibred materials, stratified or porous media, or materials with many holes or cracks. In mathematical terms, this study can be translated in the asymptotic analysis of fast-oscillating differential equations or integral functionals. The book presents an introduction to the mathematical theory of homogenization of nonlinear integral functionals, with particular regard to those general results that do not rely on smoothness or convexity assumptions. Homogenization results and appropriate descriptive formulas are given for periodic and almost- periodic functionals. The applications include the asymptotic behaviour of oscillating energies describing cellular hyperelastic materials, porous media, materials with stiff and soft inclusions, fibered media, homogenization of HamiltonJacobi equations and Riemannian metrics, materials with multiple scales of microstructure and with multi-dimensional structure. The book includes a specifically designed, self-contained and up-to-date introduction to the relevant results of the direct methods of Gamma-convergence and of the theory of weak lower semicontinuous integral functionals depending on vector-valued functions. The bookis based on various courses taught at the advanced graduate level. Prerequisites are a basic knowledge of Sobolev spaces, standard functional analysis and measure theory. The presentation is completed by several examples and exercises.

Fixed Point Theory And Graph Theory

Author : Monther Alfuraidan
ISBN : 9780128043653
Genre : Mathematics
File Size : 47. 50 MB
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Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets. Introduces both metric fixed point and graph theory in terms of their disparate foundations and common application environments Provides a unique integration of otherwise disparate domains that aids both students seeking to understand either area and researchers interested in establishing an integrated research approach Emphasizes solution methods for fixed points in non-linear problems such as variational inequalities, split feasibility, and hierarchical variational inequality problems that is particularly appropriate for engineering and core science applications

American Book Publishing Record

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ISBN : UOM:39015066043251
Genre : American literature
File Size : 43. 67 MB
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The Bulletin Of Mathematics Books

Author :
ISBN : CORNELL:31924074863436
Genre : Mathematics
File Size : 69. 53 MB
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Books In Print 2004 2005

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ISBN : 0835246477
Genre : Literature
File Size : 64. 74 MB
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Graph Theory

Author : Geir Agnarsson
ISBN : STANFORD:36105123273497
Genre : Computers
File Size : 36. 44 MB
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Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields – and is now one of the fastest-growing areas in discrete mathematics and computer science. This practical, intuitive book introduces basic concepts, definitions, theorems, and examples from graph theory.Presents a collection of interesting results from mathematics that involve key concepts and proof techniques. Covers design and analysis of computer algorithms for solving problems in graph theory. Discusses applications of graph theory to the sciences. Includes a collection of graph algorithms, written in Java, that are ready for compiling and running.For anyone interested in learning graph theory, discrete structures, or algorithmic design for graph problems.

Bulletin Of The Belgian Mathematical Society Simon Stevin

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ISBN : CORNELL:31924074870092
Genre : Mathematics
File Size : 51. 97 MB
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Graphs And Homomorphisms

Author : Pavol Hell
ISBN : 9780198528173
Genre : Mathematics
File Size : 44. 48 MB
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This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics.Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro).The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided.The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.

The British National Bibliography

Author : Arthur James Wells
ISBN : UOM:39015079755826
Genre : English literature
File Size : 84. 20 MB
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