Graphs and Matrices (Paperback)
暫譯: 圖形與矩陣 (平裝本)

Ravindra B. Bapat

  • 出版商: Springer
  • 出版日期: 2010-12-30
  • 售價: $2,790
  • 貴賓價: 9.5$2,651
  • 語言: 英文
  • 頁數: 171
  • 裝訂: Paperback
  • ISBN: 1848829809
  • ISBN-13: 9781848829800
  • 海外代購書籍(需單獨結帳)

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商品描述

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted. Further topics include those of graph theory such as regular graphs and algebraic connectivity, Laplacian eigenvalues of threshold graphs, positive definite completion problem and graph-based matrix games. Whilst this book will be invaluable to researchers in graph theory, it may also be of benefit to a wider, cross-disciplinary readership.

商品描述(中文翻譯)

《圖形與矩陣》為這個快速擴展的領域文獻選擇提供了一個受歡迎的補充。正如書名所示,本書的主要焦點是圖論,並強調與線性代數和矩陣理論相關的主題。資訊以相對基礎的水平呈現,旨在引導學生進一步研究。本書的第一部分討論了矩陣的基本概念,並突出了與圖相關的矩陣的基本性質。進一步的主題包括圖論中的常規圖和代數連通性、閾值圖的拉普拉斯特徵值、正定補全問題以及基於圖的矩陣遊戲。雖然本書對於圖論研究人員將是無價的,但對於更廣泛的跨學科讀者也可能有所裨益。