Mathematical preliminaries redux introduction to backtracking dancing links
著者
書誌事項
Mathematical preliminaries redux introduction to backtracking dancing links
（The art of computer programming, v. 4,
Addison-Wesley, c2020
- : pbk
並立書誌 全1件
大学図書館所蔵 全7件
注記
"This booklet is fascicle 5 of The art of computer programming, volume 4: Combinatorial algorithms."--Pref
"Newly available sections of the classic work"--Cover
Includes index
内容説明・目次
内容説明
This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books.
To continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete.
This fascicle covers three separate topics:
Mathematical Preliminaries. Knuth writes that this portion of fascicle 5 "extends the 'Mathematical Preliminaries' of Section 1.2 in Volume 1 to things that I didn't know about in the 1960s. Most of this new material deals with probabilities and expectations of random events; there's also an introduction to the theory of martingales."
Backtracking: this section is the counterpart to section 7.2.1 which covered the generation of basic combinatorial patterns. This section covers non-basic patterns, ones where the developer needs to make tentative choices and then may need to backtrack when those choices need revision.
Dancing Links: this section is related to 2 above. It develops an important data structure technique that is suitable for backtrack programming described above.
目次
Preface iii
Mathematical Preliminaries Redux 1
Chapter 7: Combinatorial Searching 7.2.2 Backtrack Programming 28
7.2.2.1 Dancing Links 63
Answers to Exercises 182 Appendix C: index to Algorithms and Theorems 357 Appendix E: Answers to Puzzles in the Answers 358
Index and Glossary 361
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