Algebraic and Combinatorial Methods in Operations Research PDF Download
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Author: R.E. Burkard
Publisher: Elsevier
ISBN: 0080872069
Category : Mathematics
Languages : en
Pages : 393
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Book Description
For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.
Author: R.E. Burkard
Publisher: Elsevier
ISBN: 0080872069
Category : Mathematics
Languages : en
Pages : 393
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Book Description
For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.
Author: Workshop on Algebraic Structures in Operations Research
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages :
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Book Description
Author: Workshop on Algebraic Structures in Operations
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 381
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Book Description
Author: Jonathan L. Gross
Publisher: CRC Press
ISBN: 1584887443
Category : Computers
Languages : en
Pages : 664
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Book Description
Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat
Author: László Béla Kovács
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 292
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Book Description
Author: Alexander Mikhalev
Publisher: Springer Science & Business Media
ISBN: 9780387405629
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).
Author: Bruno Benedetti
Publisher: Springer
ISBN: 3319201557
Category : Mathematics
Languages : en
Pages : 222
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Book Description
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.
Author: David Avis
Publisher: Springer Science & Business Media
ISBN: 9780387255910
Category : Business & Economics
Languages : en
Pages : 286
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Book Description
Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.
Author: Laszlo B. Kovacs
Publisher:
ISBN: 9780785520351
Category :
Languages : en
Pages : 284
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Book Description
Author: Dingzhu Du
Publisher: Springer Science & Business Media
ISBN: 9780792350187
Category : Mathematics
Languages : en
Pages : 808
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Book Description
The first of a multi-volume set, which deals with several algorithmic approaches for discrete problems as well as many combinatorial problems. It is addressed to researchers in discrete optimization, and to all scientists who use combinatorial optimization methods to model and solve problems.
