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A First Course in Graph Theory: Dover Books on Mathematics

Autor Gary Chartrand, Ping Zhang
en Limba Engleză Paperback – 31 ian 2012
This comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field's most prominent experts, it takes an engaging approach that emphasizes graph theory's history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications.
Optional sections designated as "excursion" and "exploration" present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.
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Specificații

ISBN-13: 9780486483689
ISBN-10: 0486483681
Pagini: 450
Ilustrații: black & white illustrations, figures
Dimensiuni: 155 x 231 x 23 mm
Greutate: 0.59 kg
Editura: Dover Publications
Seria Dover Books on Mathematics


Cuprins

1. Introduction 2. Degrees 3. Isomorphic Group 4. Trees 5. Connectivity 6. Traversability 7. Digraphs 8. Matchings and Factorization 9. Planarity 10. Coloring Graphs 11. Ramsy Numbers 12. Distance 13. Domination Appendix 1 Appendix 2 Appendix 3 Solutions and Hints for Odd-Numbered Exercises References Index of Names Index of Mathematical Terms List of Symbols