Graph Theory In Paris

Author : Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 54,5 Mb
Release : 2006-12-22
Category : Mathematics
ISBN : 9783764374006

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Graph Theory in Paris by Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín Pdf

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Author : Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín
Publisher : Birkhäuser
Page : 389 pages
File Size : 47,9 Mb
Release : 2006-12-22
Category : Mathematics
ISBN : 3764374004

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Graph Theory in Paris by Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín Pdf

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Author : Martin Charles Golumbic,André Sainte-Laguë
Publisher : Springer Nature
Page : 122 pages
File Size : 42,8 Mb
Release : 2021-02-09
Category : Mathematics
ISBN : 9783030614201

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The Zeroth Book of Graph Theory by Martin Charles Golumbic,André Sainte-Laguë Pdf

Marking 94 years since its first appearance, this book provides an annotated translation of Sainte-Laguë's seminal monograph Les réseaux (ou graphes), drawing attention to its fundamental principles and ideas. Sainte-Laguë's 1926 monograph appeared only in French, but in the 1990s H. Gropp published a number of English papers describing several aspects of the book. He expressed his hope that an English translation might sometime be available to the mathematics community. In the 10 years following the appearance of Les réseaux (ou graphes), the development of graph theory continued, culminating in the publication of the first full book on the theory of finite and infinite graphs in 1936 by Dénes König. This remained the only well-known text until Claude Berge's 1958 book on the theory and applications of graphs. By 1960, graph theory had emerged as a significant mathematical discipline of its own. This book will be of interest to graph theorists and mathematical historians.

Author : Ronald C. Read
Publisher : Academic Press
Page : 344 pages
File Size : 42,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483263120

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Graph Theory and Computing by Ronald C. Read Pdf

Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graph-theoretic programming language. Topics include FORTRAN characteristics of GTPL, design considerations, representation and identification of graphs in a computer, production of simple graphs and star topologies, and production of stars having a given topology. The manuscript examines the entropy of transformed finite-state automata and associated languages; counting hexagonal and triangular polyominoes; and symmetry of cubical and general polyominoes. Graph coloring algorithms, algebraic isomorphism invariants for graphs of automata, and coding of various kinds of unlabeled trees are also discussed. The publication is a valuable source of information for researchers interested in graph theory and computing.

Author : Danail Bonchev,D. H. Rouvray
Publisher : Taylor & Francis
Page : 294 pages
File Size : 51,7 Mb
Release : 1992
Category : Design
ISBN : 0856265152

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Chemical Graph Theory by Danail Bonchev,D. H. Rouvray Pdf

Building on the background of graph theory provided in the first volume of the series, presents a detailed examination of the role of graph theory in the study of chemical kinetics, reaction mechanisms, and quantitative structure-activity relations, in a manner useful to theoretical chemists. Among the topics are heterogeneous catalytic reactions, the classification and coding of chemical reaction mechanisms, the mechanist's description of chemical processes as it relates to aromaticity, and using operator networks to interpret evolutionary interrelations between chemical entities. Annotation copyright by Book News, Inc., Portland, OR

Author : Jaroslav Nešetřil,Patrice Ossona de Mendez
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 54,7 Mb
Release : 2012-04-24
Category : Mathematics
ISBN : 9783642278754

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Sparsity by Jaroslav Nešetřil,Patrice Ossona de Mendez Pdf

This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at ICM 2010.

Author : Marc Barthelemy
Publisher : Springer Nature
Page : 443 pages
File Size : 42,5 Mb
Release : 2022-02-20
Category : Mathematics
ISBN : 9783030941062

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Spatial Networks by Marc Barthelemy Pdf

This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.

Author : Anthony Joseph,Fulbert Mignot,Francois Murat,Bernard Prum,Rudolf Rentschler
Publisher : Birkhäuser
Page : 530 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034891127

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First European Congress of Mathematics Paris, July 6–10, 1992 by Anthony Joseph,Fulbert Mignot,Francois Murat,Bernard Prum,Rudolf Rentschler Pdf

Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice J. Frhlich: Mathematical Aspects of the Quantum Hall Effect M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings U. Hamenstdt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology S.B. Kuksin: KAM-Theory for Partial Differential Equations M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations I. Madsen: The Cyclotomic Trace in Algebraic K-Theory A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology J. Nekovr: Values of L-Functions and p-Adic Cohomology Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups M.A. Nowak: The Evolutionary Dynamics of HIV Infections R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods A. Schrijver: Paths in Graphs and Curves on Surfaces B. Silverman: Function Estimation and Functional Data Analysis V. Strassen: Algebra and Complexity P. Tukia: Generalizations of Fuchsian and Kleinian Groups C. Viterbo: Properties of Embedded Lagrange Manifolds D. Voiculescu: Alternative Entropies in Operator Algebras M. Wodzicki : Algebraic K-Theory and Functional Analysis D. Zagier: Values of Zeta Functions and Their Applications.

Author : John Adrian Bondy,U. S. R. Murty
Publisher : London : Macmillan Press
Page : 290 pages
File Size : 41,5 Mb
Release : 1976
Category : Grafs, Teoria de
ISBN : UCSD:31822011897709

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Graph Theory with Applications by John Adrian Bondy,U. S. R. Murty Pdf

Author : The International Neural Society(INNS), The IEEE Neural
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 51,7 Mb
Release : 2013-12-18
Category : Computers
ISBN : 9789400906433

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INNC 90 PARIS by The International Neural Society(INNS), The IEEE Neural Pdf

Neural Networks have been the theater of a dramatic increase of activities in the last five years. The interest of mixing results from fields as different as neurobiology, physics (spin glass theory), mathematics (linear algebra, statistics ... ), computer science (software engineering, hardware architectures ... ) or psychology has attracted a large number of researchers to the field. The perspective of dramatic improvements in many applications has lead important companies to launch new neural network programs and start-ups have mushroomed to address this new market. Throughout the world large programs are being set-up: in Japan the government has committed more than $18 million per year to its 20 year Human Frontier Science program; the DARPA and the US Navy have alloted more than $10 million per year each and other US government agencies are contributing to important but less ambitious programs. Neural networks are also a major research are in the supercomputing initiative. Europe has from the beginning taken an active part in funding major projects in the new field with BRAIN, BRA, ANNIE and PYGMALION (Esprit). Approximately $20 million has been invested to date since 1988 and new programs of nearly $30 million are being funded for the next 3 years. National projects in certain countries may globally double these amounts. Neural network conferences are attracting larger audiences than ever before. Prior to 1987 attendance never surpassed 300. The June 1989 IJCNN conference in Washington had over 2200 participants.

Author : Jean-Claude Fournier
Publisher : John Wiley & Sons
Page : 282 pages
File Size : 42,7 Mb
Release : 2013-05-06
Category : Mathematics
ISBN : 9781118623091

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Graphs Theory and Applications by Jean-Claude Fournier Pdf

This book provides a comprehensive and pedagogical introduction to graph theory and its applications. It contains all the standard basic material and develops significant topics and applications, such as: colorings and the timetabling problem, matchings and the optimal assignment problem, and Hamiltonian cycles and the travelling salesman problem, to name but a few. Exercises at various levels are given at the end of each chapter, and a final chapter presents a few general problems with hints for solutions, thus providing the reader with the opportunity to test and refine their knowledge on the subject. An appendix outlines the basis of computational complexity theory, in particular the definition of NP-completeness, which is essential for algorithmic applications.

Author : Daniel Parrochia
Publisher : John Wiley & Sons
Page : 276 pages
File Size : 40,7 Mb
Release : 2023-05-09
Category : Mathematics
ISBN : 9781786308979

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Mathematics and Philosophy 2 by Daniel Parrochia Pdf

From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use various mathematical notions of order. Throughout the book, philosophical operations and concepts are defined through examining questions relating the two kinds of known infinities – discrete and continuous – and how Woodin’s approach can influence elements of philosophy. We also examine how mathematics can help a philosopher to discover the elements of stability which will help to build an image of the world, even if various approaches (for example, negative theology) generally cannot be valid. Finally, we briefly consider the possibilities of weakening formal thought represented by fuzziness and neutrosophic graphs. In a nutshell, this book expresses the importance of graphs when representing ideas and communicating them clearly with others.

Author : Michael Molloy,Bruce Reed
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 45,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642040160

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Graph Colouring and the Probabilistic Method by Michael Molloy,Bruce Reed Pdf

Over the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.

Author : Y. Alavi
Publisher : Wiley-Interscience
Page : 600 pages
File Size : 52,6 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015019449035

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Graph Theory, Combinatorics, and Applications by Y. Alavi Pdf

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 398 pages
File Size : 51,8 Mb
Release : 2004-10-28
Category : Mathematics
ISBN : 1584883901

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Graphs & Digraphs, Fourth Edition by Gary Chartrand,Linda Lesniak,Ping Zhang Pdf

With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists. Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs. New in the Fourth Edition: Expanded treatment of Ramsey theory Major revisions to the material on domination and distance New material on list colorings that includes interesting recent results A solutions manual covering many of the exercises available to instructors with qualifying course adoptions A comprehensive bibliography including an updated list of graph theory books Every edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material.