Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry, Benjamin Steinberg, Franco Saliola, Stuart Margolis
Автор: Staples George S Название: Clifford Algebras And Zeons: Geometry To Combinatorics And B ISBN: 9811202575 ISBN-13(EAN): 9789811202575 Издательство: World Scientific Publishing Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential applications in an increasingly technological world.
As a graduate-level or advanced undergraduate-level mathematics textbook, it is suitable for self-study by researchers interested in new approaches to existing combinatorial problems and applications (wireless networks, Boolean satisfiability, coding theory, etc.).
As the first textbook to explore algebraic and combinatorial properties of zeon algebras in depth, it is suitable for interdisciplinary study in analysis, algebra, and combinatorics. The material is complemented by the CliffMath software package for Mathematica, which is freely available through the book's webpage.
Описание: Written to honor the 80th birthday of William Fulton, the articles in this volume present substantial contributions to algebraic geometry, particularly combinatorial algebraic geometry and intersection theory. Covering a wide range of topics of current interest, the book will appeal to graduate students and established researchers in the field.
Автор: Yanpei Liu Название: Topological Theory of Graphs ISBN: 311047669X ISBN-13(EAN): 9783110476699 Издательство: Walter de Gruyter Рейтинг: Цена: 24165.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology via polyhedra. On this basis, a number of problems are solved using a new approach, such as the embeddability of a graph on a surface (orientable and nonorientable) with given genus, the Gauss crossing conjecture, the graphicness and cographicness of a matroid, and so forth. Notably, the specific case of embeddability on a surface of genus zero leads to a number of corollaries, including the theorems of Lefschetz (on double coverings), of MacLane (on cycle bases), and of Whitney (on duality) for planarity. Relevant problems include the Jordan axiom in polyhedral forms, efficient methods for extremality and for recognizing a variety of embeddings (including rectilinear layouts in VLSI), and pan-polynomials, including those of Jones, Kauffman (on knots), and Tutte (on graphs), among others.
Contents
Preliminaries Polyhedra Surfaces
Homology on Polyhedra
Polyhedra on the Sphere
Automorphisms of a Polyhedron
Gauss Crossing Sequences
Cohomology on Graphs
Embeddability on Surfaces
Embeddings on Sphere
Orthogonality on Surfaces
Net Embeddings
Extremality on Surfaces
Matroidal Graphicness
Knot Polynomials
Автор: Imre Barany Название: Combinatorial Convexity ISBN: 1470467097 ISBN-13(EAN): 9781470467098 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 7900.00 р. Наличие на складе: Нет в наличии.
Описание: Explores the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity. This area is classic, with theorems of Helly, Caratheodory, and Radon that go back more than a hundred years. At the same time, it is a modern and active field of research.
Автор: Ceccherini-Silberstein Название: Groups, Graphs and Random Walks ISBN: 1316604403 ISBN-13(EAN): 9781316604403 Издательство: Cambridge Academ Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schroedinger operators, and Poisson boundaries, this book provides a valuable and up-to-date reference for both researchers and graduates.
Автор: Damian Osajda, Hiroshi Hirai, Jeremie Chalopin, Victor Chepoi Название: Weakly Modular Graphs and Nonpositive Curvature ISBN: 1470443627 ISBN-13(EAN): 9781470443627 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 12058.00 р. Наличие на складе: Нет в наличии.
Описание: The quirky inspiration of the 642 Series takes flight in this collection of fiction-writing prompts that will make anyone want to grab a pen and write what happens next. The prompts in this journal are craftted to offer fully-fledged story ideas, not simply writing exercises, taking the 642 Things to Write About series to new levels of creative amibition and quirkiness.
Автор: Yanpei Liu Название: Algebraic Elements of Graphs ISBN: 3110480735 ISBN-13(EAN): 9783110480733 Издательство: Walter de Gruyter Цена: 22305.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author's original work on graph embeddings, this book is an essential reference for researchers in graph theory.
Contents Abstract Graphs Abstract Maps Duality Orientability Orientable Maps Nonorientable Maps Isomorphisms of Maps Asymmetrization Asymmetrized Petal Bundles Asymmetrized Maps Maps within Symmetry Genus Polynomials Census with Partitions Equations with Partitions Upper Maps of a Graph Genera of a Graph Isogemial Graphs Surface Embeddability
Автор: Christof Geiss, Ibrahim Assem, Sonia Trepode Название: Advances in Representation Theory of Algebras ISBN: 147045159X ISBN-13(EAN): 9781470451592 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15299.00 р. Наличие на складе: Нет в наличии.
Описание: The Seventh ARTA ('Advances in Representation Theory of Algebras VII') conference took place at the Instituto de Matematicas of the Universidad Nacional Autonoma de Mexico, in Mexico City, from September 24-28, 2018, in honor of Jose Antonio de la Pena's 60th birthday. Papers in this volume cover topics Professor de la Pena worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.
Автор: Walker, Grant (university Of Manchester) Wood, Reginald M. W. (university Of Manchester) Название: Polynomials and the mod 2 steenrod algebra: volume 1, the peterson hit problem ISBN: 1108414486 ISBN-13(EAN): 9781108414487 Издательство: Cambridge Academ Рейтинг: Цена: 13306.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. Developing the structure of the Steenrod algebra from an algebraic viewpoint, this first volume is recommended for researchers or postgraduates in pure mathematics and can be used as a graduate textbook.
Описание: Written to honor the 80th birthday of William Fulton, the articles in this volume present substantial contributions to algebraic geometry, particularly combinatorial algebraic geometry and intersection theory. Covering a wide range of topics of current interest, the book will appeal to graduate students and established researchers in the field.
Автор: Walker, Grant (university Of Manchester) Wood, Reginald M. W. (university Of Manchester) Название: Polynomials and the mod 2 steenrod algebra: volume 2, representations of gl (n,f2) ISBN: 1108414451 ISBN-13(EAN): 9781108414456 Издательство: Cambridge Academ Рейтинг: Цена: 12195.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. This second volume broadens the discussion to include modular representations of matrix groups.
Автор: Dobson, Ted (univerza Na Primorskem, Slovenia) Malnic, Aleksander (univerza Na Primorskem, Slovenia) Marusic, Dragan (univerza Na Primorskem, Slovenia Название: Symmetry in graphs ISBN: 1108429068 ISBN-13(EAN): 9781108429061 Издательство: Cambridge Academ Рейтинг: Цена: 10294.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory. Suitable for graduate students, it goes from basic material on vertex-transitive graphs and permutation group theory right up to the field`s major open problems, and includes many examples and exercises illustrating the theory.
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