Category: Computer Science


Let's Generate Permutations!

Posted in Computer Science

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Generating Permutations

In today's post we're going to discuss the generation of permutations.

Often, in combinatorics problems, we are interested in how many different instances or configurations of a particular thing we can have (what we'll call "enumeration" or "counting"). However, that is different from wanting to actually see all of those configurations. Indeed, if we are counting something with an astronomical number of configurations, we don't want to try to list all of them.

However, as usual, Donald Knuth, who covers the topic of permutation generation in Volume 4A of his classic work, The Art of Computer Programming, uncovers …




Five Letter Words: Part 3: Letter Coverage and Dynamic Programming

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NOTE: The code covered in this post uses Python 3. The scripts can be converted to Python 2 with minimal effort, but the author would encourage any user of Python 2 to "put on your big kid pants" and make the switch to Python 3. Let's all make this painful, drawn-out switch from Python 2 to Python 3 a thing of the past, shall we?

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Introduction

The letter/word coverage problem, as presented by Donald Knuth in Volume 4, Facsimile 0 of his masterpiece Art of …




Five Letter Words: Part 2: More Five-Word Algorithms

Posted in Computer Science

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NOTE: The code covered in this post uses Python 3. The scripts can be converted to Python 2 with minimal effort, but the author would encourage any user of Python 2 to "put on your big kid pants" and make the switch to Python 3. Let's all make this painful, drawn-out switch from Python 2 to Python 3 a thing of the past, shall we?

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Tags:    python    computer science    graphs    algorithms    art of computer programming    knuth    language