Configurations from a Graphical Viewpoint (Birkhäuser Advanced Texts Basler Lehrbücher)
De (autor) Tomaz Pisanski, Brigitte Servatiusen Limba Engleză Carte Hardback – 23 Sep 2012
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.
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Specificații
ISBN-13: 9780817683634
ISBN-10: 0817683631
Pagini: 279
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.59 kg
Ediția: 2013
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Birkhäuser Advanced Texts Basler Lehrbücher
Locul publicării: Boston, MA, United States
ISBN-10: 0817683631
Pagini: 279
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.59 kg
Ediția: 2013
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Birkhäuser Advanced Texts Basler Lehrbücher
Locul publicării: Boston, MA, United States
Public țintă
GraduateCuprins
Preface.-
Introduction.-
Graphs.-
Groups,
Actions,
and
Symmetry.-
Maps.-
Combinatorial
Configurations.-
Geometric
Configurations.-
Index.-
Bibliography.
Textul de pe ultima copertă
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.
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.
Caracteristici
Among
the
oldest
combinatorial
structures,
configurations
are
explored
from
a
graphical
viewpoint
for
the
first
time
in
this
book
Explores configurations from a graph-theoretical viewpoint
Includes over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems
Well suited for a graduate graph theory course, advanced undergraduate seminar, or self-contained reference for mathematicians and researchers
Explores configurations from a graph-theoretical viewpoint
Includes over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems
Well suited for a graduate graph theory course, advanced undergraduate seminar, or self-contained reference for mathematicians and researchers