Algebras, Graphs and their Applications

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Publisher : CRC Press
ISBN 13 : 146659019X
Total Pages : 446 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Algebras, Graphs and their Applications by : Ilwoo Cho

Download or read book Algebras, Graphs and their Applications written by Ilwoo Cho and published by CRC Press. This book was released on 2013-09-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.

Algebras, Graphs and their Applications

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Author :
Publisher : CRC Press
ISBN 13 : 1466590203
Total Pages : 442 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Algebras, Graphs and their Applications by : Ilwoo Cho

Download or read book Algebras, Graphs and their Applications written by Ilwoo Cho and published by CRC Press. This book was released on 2013-09-11 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematic

Algebra, Graph Theory and their Applications

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Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
ISBN 13 : 8184873107
Total Pages : 370 pages
Book Rating : 4.1/5 (848 download)

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Book Synopsis Algebra, Graph Theory and their Applications by : T.T Chelvam

Download or read book Algebra, Graph Theory and their Applications written by T.T Chelvam and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2009-12-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and Graph Theory are two fascinating branches of Mathematics. The tools of each have been used in the other to explore and investigate problems in depth. Especially the Cayley graphs constructed out of the group structures have been greatly and extensively used in Parallel computers to provide network to the routing problem. ALGEBRA, GRAPH THEORY AND THEIR APPLICATIONS takes an inclusive view of the two areas and presents a wide range of topics. It includes sixteen referred research articles on algebra and graph theory of which three are expository in nature alongwith articles exhibiting the use of algebraic techniques in the study of graphs. A substantial proportion of the book covers topics that have not yet appeared in book form providing a useful resource to the younger generation of researchers in Discrete Mathematics.

Graph Algebra

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Publisher : SAGE
ISBN 13 : 1412941091
Total Pages : 105 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Graph Algebra by : Courtney Brown

Download or read book Graph Algebra written by Courtney Brown and published by SAGE. This book was released on 2008 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated, algebraic statements of social and political phenomena.

Graph Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836609
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Graph Algebras by : Iain Raeburn

Download or read book Graph Algebras written by Iain Raeburn and published by American Mathematical Soc.. This book was released on 2005 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph algebras are a family of operator algebras which are associated to directed graphs. These algebras have an attractive structure theory in which algebraic properties of the algebra are related to the behavior of paths in the underlying graph. In the past few years there has been a great deal of activity in this area, and graph algebras have cropped up in a surprising variety of situations, including non-abelian duality, non-commutative geometry, and the classification of simple $C*$-algebras. The first part of the book provides an introduction to the subject suitable for students who have seen a first course on the basics of $C*$-algebras. In the second part, the author surveys the literature on the structure theory of graph algebras, highlights some applications of this theory, and discusses several recent generalizations which seem particularly promising. The volume is suitable for graduate students and research mathematicians interested in graph theory and operator algebras.

Graph Symmetry

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401589372
Total Pages : 434 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Graph Symmetry by : Gena Hahn

Download or read book Graph Symmetry written by Gena Hahn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Graph Theory and Its Applications

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Publisher : CRC Press
ISBN 13 : 1420057146
Total Pages : 799 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Graph Theory and Its Applications by : Jonathan L. Gross

Download or read book Graph Theory and Its Applications written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance

Topics in Algebraic Graph Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521801973
Total Pages : 302 pages
Book Rating : 4.8/5 (19 download)

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Book Synopsis Topics in Algebraic Graph Theory by : Lowell W. Beineke

Download or read book Topics in Algebraic Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2004-10-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no other book with such a wide scope of both areas of algebraic graph theory.

Metagraphs and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387372342
Total Pages : 174 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Metagraphs and Their Applications by : Amit Basu

Download or read book Metagraphs and Their Applications written by Amit Basu and published by Springer Science & Business Media. This book was released on 2007-02-24 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details metagraph theory and its applications. It begins by defining a metagraph and its uses, which allow for the representation and analysis of more complex systems. The first part of the book develops the theoretical results with an emphasis on the development of a metagraph algebra. In the second part, four promising applications of metagraphs are examined.

Elementary Algebra

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Publisher : Prentice Hall
ISBN 13 :
Total Pages : 770 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Elementary Algebra by : Jay Lehmann

Download or read book Elementary Algebra written by Jay Lehmann and published by Prentice Hall. This book was released on 2007 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory algebra text that emphasizes mathematical reasoning, problem solving, and real-world applications using numerical, algebraic and graphical models. Topics include problem-solving techniques, algebraic expressions, polynomials, linear and quadratic equations, linear inequalities, linear and nonlinear graphs, systems of linear equations in two variables, integer exponents, proportions, and radicals.

Graph Theory As I Have Known It

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Publisher : Clarendon Press
ISBN 13 : 0191637785
Total Pages : 164 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Graph Theory As I Have Known It by : W. T. Tutte

Download or read book Graph Theory As I Have Known It written by W. T. Tutte and published by Clarendon Press. This book was released on 2012-05-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.

Graph Algorithms in the Language of Linear Algebra

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Author :
Publisher : SIAM
ISBN 13 : 9780898719918
Total Pages : 388 pages
Book Rating : 4.7/5 (199 download)

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Book Synopsis Graph Algorithms in the Language of Linear Algebra by : Jeremy Kepner

Download or read book Graph Algorithms in the Language of Linear Algebra written by Jeremy Kepner and published by SIAM. This book was released on 2011-01-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.

Graphs on Surfaces and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540383611
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Graphs on Surfaces and Their Applications by : Sergei K. Lando

Download or read book Graphs on Surfaces and Their Applications written by Sergei K. Lando and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

A Beginner's Guide to Graph Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645802
Total Pages : 266 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Beginner's Guide to Graph Theory by : W.D. Wallis

Download or read book A Beginner's Guide to Graph Theory written by W.D. Wallis and published by Springer Science & Business Media. This book was released on 2010-05-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Algebraic Graph Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521458979
Total Pages : 220 pages
Book Rating : 4.4/5 (589 download)

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Book Synopsis Algebraic Graph Theory by : Norman Biggs

Download or read book Algebraic Graph Theory written by Norman Biggs and published by Cambridge University Press. This book was released on 1993 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

College Algebra: Graphs & Models

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Publisher : McGraw-Hill Higher Education
ISBN 13 : 0077418603
Total Pages : 991 pages
Book Rating : 4.0/5 (774 download)

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Book Synopsis College Algebra: Graphs & Models by : John Coburn

Download or read book College Algebra: Graphs & Models written by John Coburn and published by McGraw-Hill Higher Education. This book was released on 2011 with total page 991 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three components contribute to a theme sustained throughout the Coburn-Herdlick Series: that of laying a firm foundation, building a solid framework, and providing strong connections. In the Graphs and Models texts, the authors combine their depth of experience with the conversational style and the wealth of applications that the Coburn-Herdlick texts have become known for. By combining a graphical approach to problem solving with algebraic methods, students learn how to relate their mathematical knowledge to the outside world. The authors use technology to solve the more true-to life equation.

Operator Algebras and Their Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871218
Total Pages : 338 pages
Book Rating : 4.8/5 (712 download)

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Book Synopsis Operator Algebras and Their Applications by : Peter A. Fillmore

Download or read book Operator Algebras and Their Applications written by Peter A. Fillmore and published by American Mathematical Soc.. This book was released on with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?