Experiments with Knuth's 5,757 five letter words. https://charlesreid1.com/wiki/Five_Letter_Words
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Charles Reid 907676dd82 clarify palindrome checks 2 years ago
output Add near palindrome output, and fix palindrome pairs to exclude palindromes 3 years ago
.gitignore adding memo to gitignore. 3 years ago
LICENSE updating license, readme, and adding words. 3 years ago
README.md update readme with new scripts. 3 years ago
diff_by_n.py updating diff by n to print, for n equals 2 through 2 3 years ago
diff_by_one.py updating diff-by-one script comment 3 years ago
distinct.py Make distinct.py more efficient: one loop over words. 3 years ago
euclidean_distance.py reverse order of printed distances 3 years ago
get_words.py adding get words function. 3 years ago
letter_coverage.py moving word converage to letter coverage. 3 years ago
lexico.py fix comments. 3 years ago
near_palindromes.py clarify palindrome checks 2 years ago
palindromes.py clarify palindrome checks 2 years ago
reverse_lexico.py fix comments. 3 years ago
sgb-words.txt Adding Stanford GraphBase list of five-letter words 3 years ago
stats.py remove particular bigrams 3 years ago



This repository contains Donald Knuth’s GraphBase list of five-letter words,
as well as scripts to run various combinatoric experiments,
graph algorithms, and other algorithms to explore the
relationships among these words.

The list of words comes from [1] and is in the public domain.

Get Words

A Python program that contains a method for getting all of the five letter words from a file,
and that’s about it.

Warm Up Exercises

Exercises 26-37 of Knuth’s Volume 4 Fascile 0 are intended as a warm up to get to know
the SGB five letter word list. Solutions to these exercises are listed below.

distinct.py- computes the number of SGB words containing exactly k distinct letters.

diff_by_one.py - computes the number of words in the SGB that are off by a single letter,
shifted a single place. For example, “might” and “night” or “large” and “marge”. There is a
surprisingly large number of such pairs.

euclidean_distance.py - computes the euclidean distance between two words. This uses
the traditional Euclidean distance definition but reinterprets distance to mean edit distance.

lexico.py - find words that are sorted by lexicographic order (front to back, a-z).

palindromes.py - look for five letter words that are either a palindrome, or a palindrome pair.


diff_by_n.py - computes words in SGB that have an edit distnace of n.

reverse_lexico.py - variation on lexico.py that finds words whose letters are in
reverse lexicographic order.

Letter Coverage

letter_coverage.py - computes coverage of the alphabet (minimum number of words required
to provide X letters of the alphabet)

Knuth mentions, in the text, a couple of facts about how many words cover how much
of the alphabet. We authored a dynamic program to compute precisely this - given a
number of letters N from the alphabet, this program computes the minimum number of
words it takes to cover all N letters.

Also see https://charlesreid1.com/wiki/Letter_Coverage..


  1. Knuth, Donald. The Stanford GraphBase: A Platform for Combinatorial Computing. New York: ACM Press, 1994.