Gonzalo Fiz Pontiveros, Simon Griffiths, Robert Morris
Sari: Memoirs of the American Mathematical Society
(Ilmumisaeg: 04-Mar-2020, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470456566)
The areas of Ramsey theory and random graphs have been closely linked ever since Erdoss famous proof in 1947 that the "e;diagonal"e; Ramsey numbers R(k) grow exponentially in k. In the early 1990s, the triangle-free process was introduce...Loe edasi...
(Ilmumisaeg: 10-Mar-2018, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470449940)
This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many c...Loe edasi...
Sari: CBMS Regional Conference Series in Mathematics
(Ilmumisaeg: 30-Nov-2015, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470426675)
In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic...Loe edasi...
(Ilmumisaeg: 01-May-2016, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470430177)
Ramsey theory is a dynamic area of combinatorics that has various applications in analysis, ergodic theory, logic, number theory, probability theory, theoretical computer science, and topological dynamics. This book is devoted to one of the most impo...Loe edasi...