منابع مشابه
Permutations and words counted by consecutive patterns
Generating functions which count occurrences of consecutive sequences in a permutation or a word which matches a given pattern are studied by exploiting the combinatorics associated with symmetric functions. Our theorems take the generating function for the number of permutations which do not contain a certain pattern and give generating functions refining permutations by the both the total num...
متن کاملConsecutive patterns in permutations
In this paper we study the distribution of the number of occurrences of a permutation σ as a subword among all permutations in Sn. We solve the problem in several cases depending on the shape of σ by obtaining the corresponding bivariate exponential generating functions as solutions of certain linear differential equations with polynomial coefficients. Our method is based on the representation ...
متن کاملAvoiding consecutive patterns in permutations
The number of permutations that do not contain, as a factor (subword), a given set of permutations Π is studied. A new treatment of the case Π = {12 · · · k} is given and then some numerical data is presented for sets Π consisting of permutations of length at most 4. Some large sets of Wilf-equivalent permutations are also given.
متن کاملanalyzing patterns of classroom interaction in efl classrooms in iran
با به کار گیری روش گفتما ن شنا سی در تحقیق حا ضر گفتا ر میا ن آموزگا را ن و زبا ن آموزا ن در کلا سهای زبا ن انگلیسی در ایرا ن مورد بررسی قرار گرفت. ا هداف تحقیق عبا رت بودند از: الف) شنا سا ئی سا ختارهای ارتبا ط گفتا ری میا ن معلمین و زبا ن آموزا ن ب) بررسی تا ثیر نقش جنسیت دبیرا ن و زبا ن آموزان بر سا ختا رهای ارتبا ط گفتا ری میا ن آنها پ) مشخص کردن اینکه آ یا آموزگاران غا لب بر این ارتبا ط گف...
Packing Patterns into Words
In this article we generalize packing density problems from permutations to patterns with repeated letters and generalized patterns. We are able to find the packing density for some classes of patterns and several other short patterns. A string 213322 contains three subsequences 233, 133, 122 each of which is orderisomorphic (or simply isomorphic) to the string 122, i.e. ordered in the same way...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2019
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-018-0868-5