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Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics computer science, combinatorial optimization, and operations research in particular but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance. The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material. A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.
Graph theory. --- Graph theory --- Théorie des graphes --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Graphes, Théorie des.
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Graph Theory
Graph theory --- Combinatorial analysis --- Théorie des graphes --- Congresses --- Congrès --- ELSEVIER-B EPUB-LIV-FT --- Graphes. (Congrès) --- Grafen (Congres) --- Graph theory - Congresses
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Combinatorial analysis --- Graph theory --- Analyse combinatoire --- Graphes, Théorie des --- Cliques (Théorie des graphes) --- Graphs, Theory of --- Theory of graphs --- Extremal problems --- Topology
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Graph theory in modern engineering; computer aided design, control, optimization, reliability analysis
Graph theory. --- Electrical engineering --- Graphic methods. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Extremal problems --- Combinatorial analysis --- Topology --- Computer-aided design --- Théorie des graphes --- Conception assistée par ordinateur --- ELSEVIER-B EPUB-LIV-FT --- Graphes, Théorie des
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Threshold graphs have a beautiful structure and possess many important mathematical properties. They have applications in many areas including computer science and psychology. Over the last 20 years the interest in threshold graphs has increased significantly, and the subject continues to attract much attention. The book contains many open problems and research ideas which will appeal to graduate students and researchers interested in graph theory. But above all Threshold Graphs and Related Topics provides a valuable source of information for all those working in this field.
Combinatorial analysis. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Combinatorics --- Algebra --- Mathematical analysis --- Extremal problems --- Théorie des graphes --- ELSEVIER-B EPUB-LIV-FT
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Studies on Graphs and Discrete Programming
Discrete mathematics --- Network analysis (Planning) --- Graph theory --- Integer programming --- Théorie des graphes --- Programmation en nombres entiers --- Congresses. --- Congresses --- Congrès --- ELSEVIER-B EPUB-LIV-FT --- Network analysis (planning) --- Programming (Mathematics) --- Project networks --- Planning --- System analysis --- Network analysis (planning) - Congresses --- Graph theory - Congresses --- Integer programming - Congresses
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Joe Celko's Trees and Hierarchies in SQL is an intermediate to advanced-level practitioner's guide to mastering the two most challenging aspects of developing database applications in SQL. In this book, Celko illustrates several major approaches to representing trees and hierarchies and related topics that should be of interest to the working database programmer. These topics include hierarchical encoding schemes, graphs, IMS, binary trees, and more. This book covers SQL-92 and SQL:1999.· Includes graph theory and programming techniques.· Running examples throughout the book help i
Information systems --- SQL (structured query language) --- SQL (Computer program language) --- Trees (Graph theory) --- SQL (Langage de programmation) --- Arbres (Théorie des graphes) --- Information Technology --- General and Others --- Graph theory --- Structured Query Language (Computer program language) --- Declarative programming languages --- Query languages (Computer science)
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This book is useful for readers who want to visualize graphs as representing structural knowledge in a variety of fields. It gives an outline of the whole field, describes in detail the representative methods for drawing graphs, explains extensions such as fisheye and dynamic drawing, presents many practical applications, and discusses ways of evaluation. It makes the intuitive understanding of these easier by using examples and diagrams, and provides a wealth of references for those readers who wish to know more.
Contents:
Computer graphics. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Extremal problems --- Digital techniques --- Computer graphics --- Infographie --- Théorie des graphes
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Finite groups Æ72
Group theory --- Graph theory. --- Group theory. --- Combinatorial topology. --- Groupes, Théorie des --- Finite groups --- Congresses. --- Groupes finis --- Groupes, Théorie des. --- Graph theory --- Combinatorial topology --- Théorie des graphes --- Théorie des groupes --- Topologie combinatoire --- Operator theory --- Discrete mathematics --- Congresses --- Groupes, Théorie des --- Graphes, Théorie des --- Variétés topologiques --- Finite groups - Congresses --- Probleme du coloriage
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Kinematical problems of both classical and quantum mechanics are considered in these lecture notes ranging from differential calculus to the application of one of Chernoff's theorems.Originally published in 1970.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
531.3 --- Differential equations --- Dynamics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equations, Differential --- Bessel functions --- Calculus --- Dynamics. Kinetics --- Differential equations. --- Dynamics. --- 517.91 Differential equations --- 531.3 Dynamics. Kinetics --- Quantum mechanics. Quantumfield theory --- Mathematical physics --- Differential geometry. Global analysis --- Fluid mechanics --- 517.91. --- Numerical solutions --- Flots (théorie des graphes) --- Graph theory. --- 517.91 --- Flots (théorie des graphes) --- Dynamique différentiable --- Equations differentielles ordinaires --- Theoremes generaux
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