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Book Cover
E-book
Author Pisanski, Tomaž

Title Configurations from a graphical viewpoint / Tomaž Pisanski, Brigitte Servatius
Published New York : Birkhäuser, ©2013

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Description 1 online resource
Series Birkhäuser advanced texts
Birkhäuser advanced texts
Contents Graphs -- Groups, actions, and symmetry -- Maps -- Combinatorial configurations -- Geometric configurations
Summary Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries. After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter. With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers
Analysis Mathematics
Geometry, algebraic
Combinatorics
Geometry
Topology
Graph Theory
Algebraic Geometry
Bibliography Includes bibliographical references and index
Subject Graph theory.
Teoría de grafos
Graph theory
Form Electronic book
Author Servatius, Brigitte, 1954-
ISBN 9780817683641
081768364X