Introduction to Graph Theory

Trudeau, Richard J.

ISBN 10: 0486678709 / ISBN 13: 9780486678702

Editore: Dover, 1993

Very Good/Wraps (36230) . Trade paperback, very good condition, w. ltly rubbed wraps, a few lt marks. Possibly sme v. lt tanning on r. V. ltly slanted sp, sme v. lt wear at fr sp edge, lt dent at bottom of fr wrap. Sme v. lt edgwr. V. ltly tanned p. edges. O/w cln, tight, unmarked. 209. Codice articolo 36230

Riassunto:

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.

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

Dati bibliografici

Titolo: Introduction to Graph Theory
Casa editrice: Dover
Data di pubblicazione: 1993
Legatura: Paperback
Edizione: Reprint edition