Sum(m)It280: Surveys in Extremal Combinatorics and Combinatorial Geometry
暫譯: Sum(m)It280：極端組合數學與組合幾何的調查

Katona, Gyula O. H., Patkós, Balázs, Tompkins, Casey

Sum(m)It280: Surveys in Extremal Combinatorics and Combinatorial Geometry
  • 出版商: Springer
  • 出版日期: 2026-05-29
  • 售價: $7,010
  • 貴賓價: 9.5 折 $6,659
  • 語言: 英文
  • 頁數: 466
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032188091
  • ISBN-13: 9783032188090
  • 相關分類: 離散數學 Discrete-mathematics

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商品描述

The János Bolyai Mathematical Society and the HUN-REN Alfréd Rényi Institute of Mathematics (Budapest, Hungary) organized a week-long conference on the occasion of the 70th birthdays of four excellent mathematicians: Péter Frankl, Zoltán Füredi, Ervin Győri and János Pach in July 2024. The present volume mainly contains survey papers written by the invited speakers of this conference and it also includes some interesting new results, see, for example, Noga Alon's paper in the area of extremal combinatorics. The book also comprises three excellent surveys written by Hurlbert, Kupavskii, and Jian Wang which give a good overview of extremal set theory. Moreover, two papers written by Balko and Verstraëte are surveys of certain sub-branches of Ramsey theory, while two papers written by Aslanyan-Sahakyan and Ihringer present a broad picture of the combinatorial properties of Boolean functions. Likewise, the paper written by Géza Tóth covers an interesting area of combinatorial geometry and in addition, there are subsequent papers presenting results on graph theory.

This volume will be a valuable resource for graduate students and young (perhaps also not so young) researchers interested in extremal combinatorics and combinatorial geometry.

商品描述(中文翻譯)

János Bolyai 數學學會與 HUN-REN Alfréd Rényi 數學研究所（匈牙利布達佩斯）於 2024 年 7 月舉辦了一場為期一週的會議，以慶祝四位優秀數學家的 70 歲生日：Péter Frankl、Zoltán Füredi、Ervin Győri 和 János Pach。本書主要包含此次會議邀請講者撰寫的綜述論文，並且還包括一些有趣的新結果，例如 Noga Alon 在極端組合學領域的論文。本書還包含 Hurlbert、Kupavskii 和 Jian Wang 撰寫的三篇優秀綜述，這些綜述對極端集合論提供了良好的概述。此外，Balko 和 Verstraëte 撰寫的兩篇論文是對 Ramsey 理論某些子分支的綜述，而 Aslanyan-Sahakyan 和 Ihringer 撰寫的兩篇論文則展示了布爾函數的組合性質的廣泛圖景。同樣，Géza Tóth 撰寫的論文涵蓋了組合幾何的一個有趣領域，此外，還有後續論文展示了圖論的結果。

本卷將成為對於對極端組合學和組合幾何感興趣的研究生和年輕（或許也不那麼年輕的）研究人員的寶貴資源。

作者簡介

Gyula O.H. Katona is a research professor emeritus at HUN-REN Alfréd Rényi Institute of Mathematics and its former director as well. Gyula is an author of 170 research papers mostly in the area of extremal set theory and applications of combinatorics. Gyula is also a member of the editorial boards of 15 mathematical journals and a member of the Hungarian Academy of Sciences.

Balázs Patkós is a research professor at HUN-REN Alfréd Rényi Institute of Mathematics and an author of almost 100 research papers as well as a co-author of the book "Extremal Finite Set Theory". Balázs is also an associate editor of the journal Discrete Mathematics and Order.

Casey Tompkins is a researcher at HUN-REN Alfréd Rényi Institute of Mathematics and an author of more than 50 research articles. Casey is also the co-organizer of multiple seminars, conferences and workshops as well as an instructor at the Budapest Semesters in Mathematics program.

作者簡介(中文翻譯)

Gyula O.H. Katona 是匈牙利研究院阿爾弗雷德·雷尼數學研究所的名譽研究教授，並曾擔任該所的所長。Gyula 是170篇研究論文的作者，主要集中在極端集合理論及組合數學的應用領域。Gyula 也是15本數學期刊的編輯委員會成員，以及匈牙利科學院的成員。

Balázs Patkós 是匈牙利研究院阿爾弗雷德·雷尼數學研究所的研究教授，並且是近100篇研究論文的作者，以及書籍《極端有限集合理論》的共同作者。Balázs 也是期刊《離散數學與序》的副編輯。

Casey Tompkins 是匈牙利研究院阿爾弗雷德·雷尼數學研究所的研究員，並且是超過50篇研究文章的作者。Casey 也是多個研討會、會議和工作坊的共同組織者，以及布達佩斯數學學期計畫的講師。

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