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Introduction to Graph Theory

von Trudeau, Richard J   (Autor)

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

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Produktbeschreibung

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition. 

Inhaltsverzeichnis

Preface 1. Pure Mathematics Introduction; Euclidean Geometry as Pure
Mathematics; Games; Why Study Pure Mathematics?; What's Coming; Suggested
Reading 2. Graphs Introduction; Sets; Paradox; Graphs; Graph diagrams; Cautions;
Common Graphs; Discovery; Complements and Subgraphs; Isomorphism; Recognizing
Isomorphic Graphs; Semantics The Number of Graphs Having a Given nu; Exercises;
Suggested Reading 3. Planar Graphs Introduction; UG, K subscript 5, and the
Jordan Curve Theorem; Are there More Nonplanar Graphs?; Expansions; Kuratowski's
Theorem; Determining Whether a Graph is Planar or Nonplanar; Exercises;
Suggested Reading 4. Euler's Formula Introduction; Mathematical Induction; Proof
of Euler's Formula; Some Consequences of Euler's Formula; Algebraic Topology;
Exercises; Suggested Reading 5. Platonic Graphs Introduction; Proof of the
Theorem; History; Exercises; Suggested Reading 6. Coloring Chromatic Number;
Coloring Planar Graphs; Proof of the Five Color Theorem; Coloring Maps;
Exercises; Suggested Reading 7. The Genus of a Graph Introduction; The Genus of
a Graph; Euler's Second Formula; Some Consequences; Estimating the Genus of a
Connected Graph; g-Platonic Graphs; The Heawood Coloring Theorem; Exercises;
Suggested Reading 8. Euler Walks and Hamilton Walks Introduction; Euler Walks;
Hamilton Walks; Multigraphs; The Königsberg Bridge Problem; Exercises; Suggested
Reading Afterword Solutions to Selected Exercises Index Special symbols 

Mehr vom Verlag:

Dover Publications

Mehr aus der Reihe:

Mehr vom Autor:

Trudeau, Richard J

Produktdetails

Medium: Buch
Format: Kartoniert
Seiten: 224
Sprache: Englisch
Erschienen: Februar 1994
Auflage: 2nd Revised edition
Maße: 215 x 137 mm
Gewicht: 231 g
ISBN-10: 0486678709
ISBN-13: 9780486678702

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Einband: Kartoniert
Auflage: 2nd Revised edition
Sprache: Englisch
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