Data Structures and
Algorithms in Java™
Sixth Edition
Michael T. Goodrich
Department of Computer Science
University of California, Irvine
Roberto Tamassia
Department of Computer Science
Brown University
Michael H. Goldwasser
Department of Mathematics and Computer Science
Saint Louis University
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To Karen, Paul, Anna, and Jack
– Michael T. Goodrich
To Isabel
– Roberto Tamassia
To Susan, Calista, and Maya
– Michael H. Goldwasser
Preface to the Sixth Edition
Data Structures and Algorithms in Java provides an introduction to data structures
and algorithms, including their design, analysis, and implementation. The major
changes in this sixth edition include the following:
• We redesigned the entire code base to increase clarity of presentation and
consistency in style and convention, including reliance on type inference, as
introduced in Java 7, to reduce clutter when instantiating generic types.
• We added 38 new figures, and redesigned 144 existing figures.
• We revised and expanded exercises, bringing the grand total to 794 exercises!
We continue our approach of dividing them into reinforcement, creativity,
and project exercises. However, we have chosen not to reset the number-
ing scheme with each new category, thereby avoiding possible ambiguity
between exercises such as R-7.5, C-7.5, P-7.5.
• The introductory chapters contain additional examples of classes and inheri-
tance, increased discussion of Java’s generics framework, and expanded cov-
erage of cloning and equivalence testing in the context of data structures.
• A new chapter, dedicated to the topic of recursion, provides comprehensive
coverage of material that was previously divided within Chapters 3, 4, and
9 of the fifth edition, while newly introducing the use of recursion when
processing file systems.
• We provide a new empirical study of the efficiency of Java’s StringBuilder
class relative to the repeated concatenation of strings, and then discuss the
theoretical underpinnings of its amortized performance.
• We provide increased discussion of iterators, contrasting between so-called
lazy iterators and snapshot iterators, with examples of both styles of imple-
mentation for several data structures.
• We have increased the use of abstract base classes to reduce redundancy
when providing multiple implementations of a common interface, and the
use of nested classes to provide greater encapsulation for our data structures.
• We have included complete Java implementations for many data structures
and algorithms that were only described with pseudocode in earlier editions.
These new implementations include both array-based and linked-list-based
queue implementations, a heap-based adaptable priority queue, a bottom-up
heap construction, hash tables with either separate chaining or linear probing,
splay trees, dynamic programming for the least-common subsequence prob-
lem, a union-find data structure with path compression, breadth-first search
of a graph, the Floyd-Warshall algorithm for computing a graph’s transitive
closure, topological sorting of a DAG, and both the Prim-Jarn´ık and Kruskal
algorithms for computing a minimum spanning tree.
v
vi
Prerequisites
Preface
We assume that the reader is at least vaguely familiar with a high-level program-
ming language, such as C, C++, Python, or Java, and that he or she understands the
main constructs from such a high-level language, including:
• Variables and expressions
• Methods (also known as functions or procedures)
• Decision structures (such as if-statements and switch-statements)
• Iteration structures (for-loops and while-loops)
For readers who are familiar with these concepts, but not with how they are ex-
pressed in Java, we provide a primer on the Java language in Chapter 1. Still, this
book is primarily a data structures book, not a Java book; hence, it does not provide
a comprehensive treatment of Java. Nevertheless, we do not assume that the reader
is necessarily familiar with object-oriented design or with linked structures, such
as linked lists, for these topics are covered in the core chapters of this book.
In terms of mathematical background, we assume the reader is somewhat famil-
iar with topics from high-school mathematics. Even so, in Chapter 4, we discuss
the seven most-important functions for algorithm analysis. In fact, sections that use
something other than one of these seven functions are considered optional, and are
indicated with a star (⋆).
Online Resources
This book is accompanied by an extensive set of online resources, which can be
found at the following website:
www.wiley.com/college/goodrich
Included on this website is a collection of educational aids that augment the topics
of this book, for both students and instructors. For all readers, and especially for
students, we include the following resources:
• All Java source code presented in this book
• An appendix of useful mathematical facts
• PDF handouts of PowerPoint slides (four-per-page)
• A study guide with hints to exercises, indexed by problem number
For instructors using this book, we include the following additional teaching aids:
• Solutions to hundreds of the book’s exercises
• Color versions of all figures and illustrations from the book
• Slides in PowerPoint and PDF (one-per-page) format
The slides are fully editable, so as to allow an instructor using this book full free-
dom in customizing his or her presentations.