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Configurations from a graphical viewpointPisanski, Tomaž ; Servatius, BrigitteOn the back cover page: 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.Type of material - scientific monograph ; adult, seriousPublication and manufacture - New York [etc.] : Springer, cop. 2013Language - englishISBN - 978-0-8176-8363-4COBISS.SI-ID - 16418137
Author
Pisanski, Tomaž |
Servatius, Brigitte
Topics
matematika |
kombinatorika |
Cayleyjevi grafi |
Escherjev problem |
Kroneckerjev krov |
Steinitzov izrek |
dipoli |
theta grafi |
napetostni grafi |
incidenčne geometrije |
incidenčne strukture |
policiklične konfiguracje |
policiklične konfiguracje |
mathematics |
combinatorics |
Cayley graphs |
Escher problem |
Kronecker cover |
Steinitz theorem |
voltage graphs |
dipoles |
theta graphs |
incidence geometries |
incidence structures |
polycyclic configurations |
vertex splitting |
vertex splitting
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
outside loan 5 cop.
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University of Primorska University Library | Koper - Capodistria | UPUK |
outside loan 5 cop.
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Pisanski, Tomaž | 01941 |
Servatius, Brigitte |
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