数据结构与算法解析:Aho, Hopcroft, Ullman合著经典

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"《Data Structures And Algorithms - Alfred V. Aho》是由Alfred V. Aho、John E. Hopcroft和Jeffrey D. Ullman三位计算机科学领域的专家合著的书籍,涵盖了数据结构和算法的核心概念。这本书是基于他们之前的作品《The Design and Analysis of Computer Algorithms》的前六章内容扩展而来,增加了更多关于数据结构和算法的深入讨论。" 该书主要分为12个章节,详细介绍了以下关键知识点: 1. 设计与分析算法:这部分内容旨在介绍如何设计有效的算法,并对它们的性能进行分析,包括时间复杂度和空间复杂度的概念。 2. 基本数据类型:基础数据结构,如数组、链表、栈和队列,以及它们在程序中的应用和操作。 3. 树:包括二叉树、平衡树(如AVL树和红黑树)、堆(最大堆和最小堆)等,以及树的遍历和操作。 4. 集合的基本操作:探讨集合的定义、性质,以及集合运算如并集、交集和差集的实现。 5. 高级集合表示方法:可能涉及哈希表、B树、B+树等高级数据结构,用于高效的数据存储和检索。 6. 有向图:图的定义、表示方法,以及DFS和BFS遍历,还包括最短路径算法如Dijkstra和Floyd-Warshall。 7. 无向图:与有向图类似,但重点在于无环图的特性,如最小生成树算法(Prim和Kruskal)和图的连通性问题。 8. 排序:各种排序算法,如冒泡排序、插入排序、选择排序、快速排序、归并排序和堆排序,以及稳定性、平均和最坏情况下的性能比较。 9. 算法分析技术:更深入地研究算法效率,包括渐进分析和其他分析方法。 10. 算法设计技巧:探讨如何使用分治、动态规划、贪心策略等设计高效的算法。 11. 外部存储的数据结构和算法:处理大到无法完全加载到内存的数据时,如磁盘存储和外部排序的问题。 12. 内存管理:探讨内存分配和回收策略,如垃圾收集和内存池。 通过这12个章节,读者将能够深入理解数据结构和算法的本质,学习如何在实际编程中有效地利用它们,从而提升软件的性能和效率。同时,书中可能还会包含大量的实例、习题和参考文献,以帮助读者巩固知识和提高解决实际问题的能力。
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