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Fundamentals of Graph Theory

(Autor)

Buch | Hardcover
336 Seiten
2020
American Mathematical Society (Verlag)
978-1-4704-5342-8 (ISBN)
98,20 inkl. MwSt
Graph theory is a fascinating and inviting branch of mathematics. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The author has included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways.
Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

Allan Bickle, Pennsylvania State University Altoona, PA

Basics of graphs
Trees and connectivity
Structure and degrees
Vertex coloring
Planarity
Hamiltonian graphs
Matchings
Generalized graph colorings
Decompositions
Appendices
Nomenclature
Bibliography
Index.

Erscheinungsdatum
Reihe/Serie Pure and Applied Undergraduate Texts
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 333 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4704-5342-8 / 1470453428
ISBN-13 978-1-4704-5342-8 / 9781470453428
Zustand Neuware
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