A Tour through Graph Theory
Seiten
2026
|
2nd edition
Chapman & Hall/CRC (Verlag)
9781032855455 (ISBN)
Chapman & Hall/CRC (Verlag)
9781032855455 (ISBN)
- Noch nicht erschienen (ca. Juni 2026)
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The book introduces graph theory to students who are not mathematics majors. New to this second edition, the author offers more explanation for concepts and more context for the topics. This book is intended to strike a balance between focusing on the theory and exploration of proof techniques and the algorithmic aspect of graph theory.
Graph theory is an area of mathematics that can challenge the reader’s notions of what mathematics is and can be. The author discovered this as a student, as her discovery led her to pursue an advanced degree in mathematics. In A Tour Through Graph Theory, the author shares her enthusiasm for the topic with students assuming only high school mathematics experience.
The book introduces graph theory to students who are not mathematics majors. To distinguish itself from others covering the same topic, the book:
Employs graph theory to teach mathematical reasoning
Promotes critical thinking and problem solving
Provides rich examples and clear explanations without using proofs
Includes thoughtful discussions of historical problems and modern questions
New to this edition, the author offers more explanation for concepts or adds more context for the topics. Significant care was taken in modifying the description and examples for the more complex algorithms and theoretical discussions. More than 40 new exercises have been added, and 50 additional graphs have been added to existing exercises to provide more options for homework or quiz problems.
This book is intended to strike a balance between focusing on the theory and exploration of proof techniques and the algorithmic aspect of graph theory. Explanations and logical reasoning for solutions, but no formal mathematical proofs, are provided. Each chapter includes problems to test understanding of the material and can be used for homework, quiz problems, or self-study.
Graph theory is an area of mathematics that can challenge the reader’s notions of what mathematics is and can be. The author discovered this as a student, as her discovery led her to pursue an advanced degree in mathematics. In A Tour Through Graph Theory, the author shares her enthusiasm for the topic with students assuming only high school mathematics experience.
The book introduces graph theory to students who are not mathematics majors. To distinguish itself from others covering the same topic, the book:
Employs graph theory to teach mathematical reasoning
Promotes critical thinking and problem solving
Provides rich examples and clear explanations without using proofs
Includes thoughtful discussions of historical problems and modern questions
New to this edition, the author offers more explanation for concepts or adds more context for the topics. Significant care was taken in modifying the description and examples for the more complex algorithms and theoretical discussions. More than 40 new exercises have been added, and 50 additional graphs have been added to existing exercises to provide more options for homework or quiz problems.
This book is intended to strike a balance between focusing on the theory and exploration of proof techniques and the algorithmic aspect of graph theory. Explanations and logical reasoning for solutions, but no formal mathematical proofs, are provided. Each chapter includes problems to test understanding of the material and can be used for homework, quiz problems, or self-study.
Karin Saoub is the M. Paul Capp and Constance Whitehead Professor of Mathematics, and Dean of the School of Health, Science, and Sustainability at Roanoke College, Salem, Virginia. She received her Ph.D. in Mathematics from Arizona State University and a Bachelor of Arts from Wellesley College. Her research focuses on graph coloring and online algorithms applied to tolerance graphs. She is also the author of Graph Theory: An Introduction to Proofs, Algorithms, and Applications published by CRC Press.
Part 1: Graph Models and Routes 1. Eulerian Tours 2. Hamiltonian Cycles 3. Paths 4. Additional Topics in Graph Routes Part 2: Graph Structure 5. Trees and Networks 6. Matching 7. Graph Coloring 8. Additional Topics in Graph Structure
| Erscheint lt. Verlag | 9.6.2026 |
|---|---|
| Reihe/Serie | Textbooks in Mathematics |
| Zusatzinfo | 64 Tables, black and white; 648 Line drawings, color; 2 Halftones, black and white; 648 Illustrations, color; 2 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-13 | 9781032855455 / 9781032855455 |
| Zustand | Neuware |
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