7 edition of Graphs of groups on surfaces found in the catalog.
Includes bibliographical references (p. 351-352) and indexes.
|Statement||Arthur T. White.|
|Series||North-Holland mathematics studies,, 188|
|LC Classifications||QA166.195 .W48 2001|
|The Physical Object|
|Pagination||xiv, 363 p. :|
|Number of Pages||363|
|LC Control Number||2001030789|
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The central object in the book is a surface. I discuss surfaces from many points of view: as metric spaces, triangulated surfaces, hyperbolic surfaces, and so on. The book has many classical results about surfaces, both geometric and topological, and it also has some extraneous stuﬀ that I included because I like it. For instance, the. Quadric surfaces are three-dimensional surfaces with traces composed of conic sections. Every quadric surface can be expressed with an equation of the form \[Ax^2+By^2+Cz^2+Dxy+Exz+Fyz+Gx+Hy+Jz+K=0. \nonumber\] To sketch the graph of a quadric surface, start by sketching the traces to understand the framework of the surface.
Lectures on Representations of Surface Groups Notes of a course given in ETH-Zuric h Fall , and Orsay Spring Fran˘cois LABOURIE . n be the graph group of the n-gon graph. F0 n contains a subgroup isomorphic to the fundamental group of the orientable surface of genus 1+(n•4)2n•3. 5 Commutator Subgroups of Graph Groups Let Γ = (V;E) be a graph. A word w on Vƒ1 represents an element of F0 Γ if and only if the exponent sum on each letter of V in w is 0. This is.
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The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs.
Buy Graphs, Groups and Surfaces on FREE SHIPPING on qualified orders Graphs, Groups and Surfaces: White, Arthur T.: : Books Skip to main contentCited by: Purchase Graphs, Groups and Surfaces, Volume 8 - 2nd Edition.
Print Book & E-Book. ISBNBook Edition: 2. Graphs of Groups on Surfaces Book Summary: The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.
Automorphism groups of both graphs and maps are studied. In addition connections are. The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.
Automorphism groups of both graphs and maps are studied.4/5(1). Search in this book series. Graphs, Groups and Surfaces. Edited by Arthur T. White. Volume 8, Pages iii-viii, () Download full volume. Previous volume. Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations.
Graphs, Groups and Surfaces. Taking a Look at the Book: These Are a Rew of My Favorite Proofs. the triangulation of the genus 3 surface admitting the group PSL(2, 7). Graphs of Groups on Surfaces Interactions and Models.
Edited by Arthur T. White. VolumePages () Download full volume. Previous volume. Next volume. Book chapter Full text access Chapter 4 - The Cayley Color Graph of a Group.
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.
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. The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on surfaces.
Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as Cited by: Get this from a library. Graphs of groups on surfaces: interactions and models.
[Arthur T White] -- The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups. Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications.
The au. A Brief Introduction to Graph Theory. The Automorphism Group of a Graph. The Cayley Color Graph of a Group Presentation. An Introduction to Surface Topology. Imbedding Problems in Graph Theory.
The Genus of a Group. Map-coloring Problems. Quotient Graphs and Quotient Manifolds (and Quotient Groups!). Voltage Graphs. Non-orientable Graph Imbeddings. Graphs, Groups and Surfaces 1 Introduction In this paper, we will discuss the interactions among graphs, groups and surfaces.
For any given graph, we know that there is an automorphism group associated with it. On the other hand, for any group, we could associate with it a graph representation, namely a Cayley graph of presentations of the group.
op ological T graph theory deals with ys a w to t represen the geometric real-ization of graphs., ypically T this es olv v in starting with a graph and depicting it on arious v yp tes of wing dra b oards: 3-space, the plane, surfaces, b o oks, etc. The eld uses top ology to study graphs.
or F example, planar graphs e v ha y man sp ecial prop. Gross and Tucker’s book ‘Topological graph theory’ is ﬂlled in. In the ﬂnal chapter the lifting and covering techniques are used to approach some problems of classical graph theory. In particular, a material on °ows on graphs and enumeration of graph coverings is included.
The book can be used as a material for a course on graph. However we introduce a special identity graph of a group in the next chapter. As identity plays a unique role in the graph of group we choose to call the graph related with the group as the identity graph of the group G.
For more about Cayley graph and graphs in general refer any standard book on graph theory. Basic Concepts. Graphs, groups and surfaces. By AT White. Abstract. The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared.
The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable Author: AT White. Download Citation | Graphs on Surfaces and Their Applications | 0 Introduction: What is This Book About.- 1 Constellations, Coverings, and Maps.- 2 Dessins d'Enfants.-.
Graph paper. Print out your own graph paper with this accessible template for Excel. Useful for graphing equations, drawing charts, or plotting layouts. Surface Plots. Surface plots can be great for visualising the relationships among 3 variables across the entire 3D landscape. They give a full structure and view as to how the value of each variable changes across the axes of the 2 others.
Constructing a surface plot in Matplotlib is a 3-step process. Graphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area.
Among the basic results discussed are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of.