TY  - BOOK
AU  - Pisanski,Tomaž
AU  - Servatius,Brigitte
ED  - SpringerLink (Online service)
TI  - Configurations from a Graphical Viewpoint
T2  - Birkhäuser Advanced Texts Basler Lehrbücher
SN  - 9780817683641
AV  - QA166-166.247 
U1  - 511.5 23
PY  - 2013///
CY  - Boston
PB  - Birkhäuser Boston, Imprint: Birkhäuser
KW  - Mathematics
KW  - Algebraic geometry
KW  - Geometry
KW  - Topology
KW  - Combinatorics
KW  - Graph theory
KW  - Graph Theory
KW  - Algebraic Geometry
N1  - Preface -- Introduction -- Graphs -- Groups, Actions, and Symmetry -- Maps -- Combinatorial Configurations -- Geometric Configurations -- Index -- Bibliography
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-8176-8364-1
ER  -