Extremal Graph Theory (Dover Books on Mathematics)
暫譯: 極端圖論 (多佛數學叢書)

Bela Bollobas

  • 出版商: Dover Publications
  • 出版日期: 2004-06-04
  • 售價: $1,280
  • 貴賓價: 9.5$1,216
  • 語言: 英文
  • 頁數: 512
  • 裝訂: Paperback
  • ISBN: 0486435962
  • ISBN-13: 9780486435961
  • 海外代購書籍(需單獨結帳)

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商品描述

The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory.
Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.

商品描述(中文翻譯)

極端圖論這一不斷擴展的領域涵蓋了多樣的問題解決方法,包括在經濟學、計算機科學和優化理論中的應用。本書基於劍橋大學對研究生所進行的一系列講座,對極端圖論進行了簡明而全面的闡述。

與大多數圖論著作不同,本書幾乎對所有結果都提供了完整的證明。每章附帶的各種難度的練習題進一步提供了對理論的深入見解。雖然本書主要面向數學家和研究生,但《極端圖論》的大部分內容對數學本科生來說也是可理解的。純數學家會發現本書在結果和證明的異常豐富的集合方面是一個寶貴的資源,而對圖論應用感興趣的其他領域專業人士也會欣賞其精確性和範疇。