Articoli correlati a Introduction To Graph Theory
Sinossi
Un'escursione stimolante nella matematica pura rivolta a "matematicamente traumatizzati", ma molto divertente anche per gli hobbisti matematici e per i matematici seri. Questo libro guida il lettore dai grafici semplici ai grafici planari, alla formula di Eulero, ai grafici platonici, alla colorazione, al genere di un grafico, ai cammini di Eulero, ai cammini di Hamilton e altro ancora. Include esercizi. Edizione del 1976.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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
Product Description
A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Introduction to Graph Theory (Dover Books on Mathematics)
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Dover Publications, 1994
ISBN 10: 0486678709
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Introduction to Graph Theory
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Introduction to Graph Theory
Editore:
Dover Publications, Incorporated, 1994
ISBN 10: 0486678709
ISBN 13: 9780486678702
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Da: Better World Books, Mishawaka, IN, U.S.A.
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Condizione: Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 8413320-75
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Introduction to Graph Theory (Dover Books on Mathematics)
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Dover Publications, 1994
ISBN 10: 0486678709
ISBN 13: 9780486678702
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Introduction to Graph Theory (Dover Books on Mathematics)
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Dover Publications, 1994
ISBN 10: 0486678709
ISBN 13: 9780486678702
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Introduction to Graph Theory (Dover Books on Mathematics)
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Dover Publications, 1994
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Introduction to Graph Theory
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Paperback. Condizione: Very Good. A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition. Codice articolo 00110752296
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Introduction to Graph Theory
Editore:
Dover Publications Inc., 2003
ISBN 10: 0486678709
ISBN 13: 9780486678702
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Da: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Good. A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition. Codice articolo 00107383288
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Introduction to Graph Theory (Dover Books on Mathematics)
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Dover Publications, 1994
ISBN 10: 0486678709
ISBN 13: 9780486678702
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Introduction to Graph Theory (Dover Books on Mathematics)
Editore:
Dover Publications, 1994
ISBN 10: 0486678709
ISBN 13: 9780486678702
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