Graph Theory: Modeling, Applications, and Algorithms (美國原版)

Geir Agnarsson, Raymond Greenlaw

  • 出版商: Prentice Hall
  • 出版日期: 2006-09-01
  • 售價: $4,200
  • 貴賓價: 9.5$3,990
  • 語言: 英文
  • 頁數: 464
  • 裝訂: Paperback
  • ISBN: 0131423843
  • ISBN-13: 9780131423848
  • 相關分類: Algorithms-data-structures
  • 立即出貨(限量) (庫存=1)




For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses.


Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields — and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.




Table of Contents


1     Introduction to Graph Theory                                               

2     Basic Concepts in Graph Theory                                      

3     TreesandForests

4     Spanning Trees

5     Fundamental Properties of Graphs and Digraphs

6     Connectivity and Flow

7     Planar Graphs

8     Graph Coloring

9     Coloring Enumerations and Chordal Graphs

10    Independence,Dominance, and Matchings  

11    Cover Parameters and MatchingPolynomials

12    GraphCounting

13    Graph Algorithms



A Greek Alphabet

B Notation

C Top Ten Online References

Index ix





1. 圖論介紹
2. 圖論的基本概念
3. 樹和森林
4. 生成樹
5. 圖和有向圖的基本性質
6. 連通性和流
7. 平面圖
8. 圖的著色
9. 著色枚舉和弦圖