Graph Decompositions: A Study in Infinite Graph Theory
暫譯: 圖的分解:無限圖論研究

Diestel, Reinhard

  • 出版商: OUP Oxford
  • 出版日期: 1990-10-25
  • 售價: $4,090
  • 貴賓價: 9.5$3,885
  • 語言: 英文
  • 頁數: 242
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0198532105
  • ISBN-13: 9780198532101
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

This is the first book to offer a complete account of the theory of simplicial decompositions of graphs, possibly the single most important tool in infinite graph theory. The text is centered on a number of guiding problems and concepts such as the existence and uniqueness problem of simplicial decompositions into primes, and the concept of excluded minors as a means of identifying a desired structure. Following theoretical developments since the 1930s, the author includes extensive information on the current state of research, as well as many examples, proof strategies, exercises, and ongoing problems. The book will be a useful resource for graph theorists and mathematicians, and its lively account of important research will interest advanced students as well.

商品描述(中文翻譯)

這是第一本提供圖形的單純分解理論完整說明的書籍,這可能是無限圖論中最重要的工具。文本圍繞著一些指導性問題和概念,例如單純分解為質數的存在性和唯一性問題,以及排除次要圖的概念,作為識別所需結構的一種手段。隨著自1930年代以來的理論發展,作者包含了有關當前研究狀態的廣泛資訊,以及許多範例、證明策略、練習題和持續存在的問題。這本書將成為圖論學者和數學家的有用資源,其生動的研究敘述也將吸引進階學生的興趣。

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