Theory and Application of Graphs (Hardcover)
暫譯: 圖論的理論與應用 (精裝版)

Junming Xu

Theory and Application of Graphs (Hardcover)
  • 出版商: Kluwer Academic Publ
  • 出版日期: 2003-07-31
  • 售價: $870
  • 貴賓價: 9.8 折 $853
  • 語言: 英文
  • 頁數: 334
  • 裝訂: Hardcover
  • ISBN: 1402075405
  • ISBN-13: 9781402075407

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商品描述

This book considers a graph as a mathematical structure on a set of elements with a binary relation, and provides the most classical and important theory and application of graphs. It covers basic concepts, trees and graphic spaces, plane graphs and planar graphs, flows and connectivity, matchings and independent sets, coloring theory, graphs and groups. These topics, both theoretical and applied, are treated with some depth and with some suggestions for further reading. The treatment of material particularly lays stress on digraphs, the mutual connections among these topics and the equivalence of some well-known theorems. All theorems are stated clearly, together with full and concise proofs. A number of examples, more than 350 figures and more than 500 exercises are given to help the reader understand and examine the materials covered in the book.

Audience: The book is particularly suitable as a textbook of graph theory for senior or beginning postgraduate students who are majoring in pure and applied mathematics, operation research, computer science, designing and analysis of networks, electronics, scientific management and others. It is also suitable as a reference book for those readers who are engaged and interested in graph theory and for all researchers who use graph theory as a mathematical tool

商品描述(中文翻譯)

本書將圖形視為一種在元素集合上具有二元關係的數學結構，並提供圖形的最經典和重要的理論與應用。內容涵蓋基本概念、樹與圖形空間、平面圖與可平面圖、流與連通性、配對與獨立集、著色理論、圖與群等主題。這些理論與應用主題都進行了深入探討，並提供了一些進一步閱讀的建議。材料的處理特別強調有向圖、這些主題之間的相互關聯以及一些著名定理的等價性。所有定理都清楚陳述，並附有完整且簡潔的證明。書中提供了大量範例、超過350幅圖形和500多道習題，以幫助讀者理解和檢視書中所涵蓋的材料。

讀者對象：本書特別適合作為純數學和應用數學、運籌學、計算機科學、網絡設計與分析、電子學、科學管理等專業的高年級或初級研究生的圖論教科書。它也適合作為對圖論感興趣的讀者的參考書，以及所有將圖論作為數學工具的研究人員。

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