This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It …
Z Füredi, M Simonovits - Erdős centennial, 2013 - Springer
The History of Degenerate (Bipartite) Extremal Graph Problems Page 1 BOLYAI SOCIETY Erdos Centennial MATHEMATICAL STUDIES, 25 pp. 169–264. The History of Degenerate (Bipartite) …
N Alon, C Shikhelman - Journal of Combinatorial Theory, Series B, 2016 - Elsevier
For two graphs T and H with no isolated vertices and for an integer n, let ex (n, T, H) denote the maximum possible number of copies of T in an H-free graph on n vertices. The study of …
M Krivelevich, B Sudakov - More sets, graphs and numbers: A Salute to …, 2006 - Springer
Random graphs have proven to be one of the most important and fruitful concepts in modern Combinatorics and Theoretical Computer Science. Besides being a fascinating study …
Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the" most uniform" way of dis tributing n points in the unit square …
T Bohman, P Keevash - Inventiones mathematicae, 2010 - Springer
The H-free process, for some fixed graph H, is the random graph process defined by starting with an empty graph on n vertices and then adding edges one at a time, chosen uniformly at …
Y Li, W Liu, L Feng - arXiv preprint arXiv:2111.03309, 2021 - arxiv.org
This survey is two-fold. We first report new progress on the spectral extremal results on the Tur\'{a} n type problems in graph theory. More precisely, we shall summarize the spectral …
Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method …
V Nikiforov - arXiv preprint arXiv:1107.1121, 2011 - arxiv.org
In recent years several classical results in extremal graph theory have been improved in a uniform way and their proofs have been simplified and streamlined. These results include a …