Counting Permutations Modulo Pattern-Replacement Equivalences for Three-Letter Patterns
نویسندگان
چکیده
منابع مشابه
Counting Permutations Modulo Pattern-Replacement Equivalences for Three-Letter Patterns
We study a family of equivalence relations on Sn, the group of permutations on n letters, created in a manner similar to that of the Knuth relation and the forgotten relation. For our purposes, two permutations are in the same equivalence class if one can be reached from the other through a series of pattern-replacements using patterns whose order permutations are in the same part of a predeter...
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In how many permutations does the pattern τ occur exactly m times? In most cases, the answer is unknown. When we search for rigid patterns, on the other hand, we obtain exact formulas for the solution, in all cases considered. keywords: pattern, rigid pattern, permutation, block Amy N. Myers Department of Mathematics 209 South 33rd Street Philadelphia, PA 19104 [email protected] phone: 215...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2013
ISSN: 1077-8926
DOI: 10.37236/3330