03886nam 22007935 450 991043787490332120230711071615.00-8176-8364-X10.1007/978-0-8176-8364-1(CKB)3400000000085979(EBL)1030324(OCoLC)811773514(SSID)ssj0000766970(PQKBManifestationID)11479845(PQKBTitleCode)TC0000766970(PQKBWorkID)10739597(PQKB)10781259(DE-He213)978-0-8176-8364-1(MiAaPQ)EBC1030324(MiAaPQ)EBC6312653(PPN)16828863X(EXLCZ)99340000000008597920120922d2013 u| 0engur|n|---|||||txtccrConfigurations from a Graphical Viewpoint /by Tomaz Pisanski, Brigitte Servatius1st ed. 2013.Boston, MA :Birkhäuser Boston :Imprint: Birkhäuser,2013.1 online resource (288 p.)Birkhäuser Advanced Texts Basler Lehrbücher,2296-4894Description based upon print version of record.0-8176-8363-1 Includes bibliographical references (p. 265-269) and index.Preface -- Introduction -- Graphs -- Groups, Actions, and Symmetry -- Maps -- Combinatorial Configurations -- Geometric Configurations -- Index -- Bibliography.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.Birkhäuser Advanced Texts Basler Lehrbücher,2296-4894Graph theoryGeometryDiscrete mathematicsTopologyGeometry, AlgebraicGraph TheoryGeometryDiscrete MathematicsTopologyAlgebraic GeometryGraph theory.Geometry.Discrete mathematics.Topology.Geometry, Algebraic.Graph Theory.Geometry.Discrete Mathematics.Topology.Algebraic Geometry.511.5 Pisanski Tomazauthttp://id.loc.gov/vocabulary/relators/aut1059117Servatius Brigitteauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910437874903321Configurations from a Graphical Viewpoint2504203UNINA