Handbook of Combinatorics: 2-volume set

Description:

Combinatorics research, the branch of mathematics that deals with the study of discrete, usually finite, structures, covers a wide range of problems not only in mathematics but also in the biological sciences, engineering, and computer science. The Handbook of Combinatorics brings together almost every aspect of this enormous field and is destined to become a classic. Ronald L. Graham, Martin Grötschel, and László Lovász, three of the world's leading combinatorialists, have compiled a selection of articles that cover combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.

The 20 articles in Volume 1 deal with structures while the 24 articles in Volume 2 focus on aspects, tools, applications, and horizons.

Ronald L. Graham is Irwin and Joan Jacobs Professor in the Department of Computer Science and Engineering and Chief Scientist of the California Institute for Telecommunications and Information Technology, University of California, San Diego.

Martin Grötschel is Professor of Information Technology, Institut für Mathematik, Technische Universität Berlin and Vice President of the Konrad-Zuse-Zentrum für Informationstechnik in Berlin.

László Lovász is Senior Researcher in the Theory Group at Microsoft Research.

 

 

描述：
組合數學研究是數學的一個分支，涉及對離散、通常是有限的結構的研究，涵蓋了不僅僅是數學領域的問題，還包括生物科學、工程學和計算機科學。《組合數學手冊》匯集了這個廣泛領域的幾乎所有方面，注定成為一部經典之作。世界領先的組合數學家Ronald L. Graham、Martin Grötschel和László Lovász編輯了一系列文章，涵蓋了圖論、理論計算機科學、優化和凸性理論中的組合數學，以及在運籌學、電氣工程、統計力學、化學、分子生物學、純數學和計算機科學中的應用。

第1卷的20篇文章涉及結構，而第2卷的24篇文章則聚焦於方面、工具、應用和前景。

Ronald L. Graham是加州大學聖地亞哥分校計算機科學和工程系的Irwin和Joan Jacobs教授，也是加州電信和信息技術研究所的首席科學家。

Martin Grötschel是柏林工業大學數學研究所的信息技術教授，也是柏林康拉德·祖塞信息技術中心的副主席。

László Lovász是微軟研究院理論小組的高級研究員。