Weakened Ramsey Theory provides readers with an overview of weakened generalizations of various parameters studied in Ramsey theory. Rather than determining how large a structure must be to guarantee the existence of monochromatic substructures in a t-coloring, weakened Ramsey theory considers how large a structure must be to guarantee the existence of a substructure that uses at most a given number of colors. Weakened generalizations of Ramsey numbers, Gallai-Ramsey numbers, Schur numbers, Rado numbers, rainbow Schur numbers, and others have all been studied in the literature, and this book offers a thorough overview of the known results, with complete proofs.
This book should prove a valuable resource to advanced undergraduates, graduate students, and researchers working in Ramsey theory. Only a basic background in graph theory, algebra, and number theory is assumed, although a concise review of important definitions and background results is included.
Features
- Self-contained treatment of the subject, requiring only a minimal background in graph theory, algebra, and number theory
- Complete proofs of major results in weakened Ramsey theory
- Numerous color figures to assist the reader
- Comprehensive list of references
- Tables of known weakened parameters in Ramsey theory, providing a useful reference for researchers.
Zahle einfach mit Karte, Klarna, Apple Pay oder Google Pay. Nicht zufrieden? Du hast immer ein 14-tägiges Widerrufsrecht. Lies mehr in unseren AGB. Hast du Fragen, schreib uns eine E-Mail an hello@memmo.org.
Memmo macht das Lernen einfacher – wo auch immer du bist. Bei uns findest du deine Kursbücher und smarte Lerntools an einem Ort: Zusammenfassungen, Quizzes, Podcasts und Lernkarten. Und Ted, dein Lernbuddy, beantwortet alles, was du wissen möchtest. Über 50.000 Studierende lernen bereits hier – gemacht, damit du schneller lernst und weniger Stress hast.