Topics in Graph Automorphisms and Reconstruction PDF Download
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Author: Josef Lauri
Publisher: Cambridge University Press
ISBN: 1316610446
Category : Mathematics
Languages : en
Pages : 207
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Book Description
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
Author: Josef Lauri
Publisher: Cambridge University Press
ISBN: 1316610446
Category : Mathematics
Languages : en
Pages : 207
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Book Description
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
Author: William Kocay
Publisher: CRC Press
ISBN: 1482251256
Category : Mathematics
Languages : en
Pages : 430
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Book Description
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. ?
Author: Michael Krivelevich
Publisher: Cambridge University Press
ISBN: 1107136571
Category : Mathematics
Languages : en
Pages : 129
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Book Description
A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
Author: Giancarlo Travaglini
Publisher: Cambridge University Press
ISBN: 1107044030
Category : Mathematics
Languages : en
Pages : 251
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Book Description
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Author: Simeon Ball
Publisher: Cambridge University Press
ISBN: 1107107997
Category : Mathematics
Languages : en
Pages : 299
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Book Description
A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.
Author: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 9780521584234
Category : Mathematics
Languages : en
Pages : 480
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Book Description
This is the first of a two-volume set that provides a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. The treatment is self-contained and provides an elementary and up-to-date introduction to the subject using quiver-theoretical techniques and the theory of almost split sequences as well as tilting theory and the use of integral quadratic forms. Much of this material has never appeared before in book form. The book is primarily addressed to graduate students starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the ten chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study. Book jacket.
Author: K. R. Goodearl
Publisher: Cambridge University Press
ISBN: 9780521545372
Category : Mathematics
Languages : en
Pages : 372
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Book Description
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
Author: Hal Schenck
Publisher: Cambridge University Press
ISBN: 9780521536509
Category : Computers
Languages : en
Pages : 212
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Book Description
The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity).
Author: Jonathan R. Partington
Publisher: Cambridge University Press
ISBN: 9780521546195
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Publisher Description
Author: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 1139443186
Category : Mathematics
Languages : en
Pages : 34
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Book Description
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
