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024 7 $a10.1007/978-0-8176-8364-1
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035   $a(OCoLC)811773514
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100   $a20120922d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aConfigurations from a Graphical Viewpoint /$fby Tomaz Pisanski, Brigitte Servatius
205   $a1st ed. 2013.
210  1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (288 p.)
225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
300   $aDescription based upon print version of record.
311   $a0-8176-8363-1 
320   $aIncludes bibliographical references (p. 265-269) and index.
327   $aPreface -- Introduction -- Graphs -- Groups, Actions, and Symmetry -- Maps -- Combinatorial Configurations -- Geometric Configurations -- Index -- Bibliography.
330   $aConfigurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries. After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter. With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers.
410  0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
606   $aGraph theory
606   $aGeometry
606   $aDiscrete mathematics
606   $aTopology
606   $aGeometry, Algebraic
606   $aGraph Theory
606   $aGeometry
606   $aDiscrete Mathematics
606   $aTopology
606   $aAlgebraic Geometry
615  0$aGraph theory.
615  0$aGeometry.
615  0$aDiscrete mathematics.
615  0$aTopology.
615  0$aGeometry, Algebraic.
615 14$aGraph Theory.
615 24$aGeometry.
615 24$aDiscrete Mathematics.
615 24$aTopology.
615 24$aAlgebraic Geometry.
676   $a511.5 
700   $aPisanski$b Tomaz$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059117
702   $aServatius$b Brigitte$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437874903321
996   $aConfigurations from a Graphical Viewpoint$92504203
997   $aUNINA