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Record Nr. |
UNINA9910437874903321 |
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Autore |
Pisanski Tomaz |
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Titolo |
Configurations from a Graphical Viewpoint / / by Tomaz Pisanski, Brigitte Servatius |
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Pubbl/distr/stampa |
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Boston, MA : , : Birkhäuser Boston : , : Imprint : Birkhäuser, , 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (288 p.) |
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Collana |
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Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894 |
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Disciplina |
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Soggetti |
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Graph theory |
Geometry |
Discrete mathematics |
Topology |
Geometry, Algebraic |
Graph Theory |
Discrete Mathematics |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 265-269) and index. |
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Nota di contenuto |
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Preface -- Introduction -- Graphs -- Groups, Actions, and Symmetry -- Maps -- Combinatorial Configurations -- Geometric Configurations -- Index -- Bibliography. |
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Sommario/riassunto |
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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 |
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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. |
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