Results 71 to 80 of about 1,541,664 (157)
A note on constructing infinite binary words with polynomial subword complexity [PDF]
Most of the constructions of infinite words having polynomial subword complexity are quite complicated, e.g., sequences of Toeplitz, sequences defined by billiards in the cube, etc.
Bob Chen +5 more
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The subword complexity of finite and infinite binary words
Let Aq be a q-letter alphabet and w be a finite or right infinite word on this alphabet. A subword of w is a block of consecutive letters of w. The subword complexity function of w assigns to each positive integer, n, the number, fw (n), of distinct ...
Gheorghiciuc, Irina
core
ν-Tamari lattices via subword complexes
Abstract We show that the ν-Tamari lattices of Preville-Ratelle and Viennot can obtained as the duals of certain subword complexes. This generalizes a known result for the classical Tamari lattice, provides a simple description of the lattice property using certain bracket vectors of ν-trees, and gives (conjectural) insight on the geometry of more ...
Cesar Ceballos +2 more
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Subword complexes and 2-truncated cubes [PDF]
For a Coxeter element $c$ of a finite Coxeter group, we consider a family of subword complexes parameterized by reduced expressions of the longest element. This family generalizes $c-$cluster complexes. We describe vertices of these complexes in terms of roots of the corresponding root system.
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State complexity of the subword closure operation with applications to DNA coding
We are interested in the state complexity of languages that are defined via the subword closure operation. The subword closure of a set S of fixed-length words is the set of all words w for which any subword of w of the fixed length is in S. This type of
Câmpeanu, Cezar (author) +1 more
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Colorings of regular trees with linear subword complexity: first examples and properties [PDF]
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 임선희.정규트리의 채색의 부분단어 복잡도는 채색된 반지름 n인 부분트리의 채색의 수를 b(n)으로 정의한 것이다. 본 논문은 부분단어 복잡도를 이용하여 정규트리의 채색을 연구한 결과이다. 부분단어 복잡도가 선형함수인 채색을 중점적으로 다루었으며 특히 부분단어 복잡도가 2n+2인 것을 다루었다.
이슬비
core
On the shape of subword complexity sequences of finite words
The subword complexity of a word $w$ over a finite alphabet $\mathcal{A}$ is a function that assigns for each positive integer $n$, the number of distinct subwords of length $n$ in $w$. The subword complexity of a word is a good measure of the randomness of the word and gives insight to what the word itself looks like.
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On subword complexities of homomorphic images of languages [PDF]
Andrzej Ehrenfeucht, Grzegorz Rozenberg
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Complexity in Plasma - A Grand View of Self- Organization
"The central theme of the Complexity is the inquest of the creation of ordered structure in nature. Extensive computer simulations on plasmas have revealed that self-organization is governed by the three key processes, i.e.
"Sato, T. +1 more
core
A note on the subword complexes in Coxeter groups
We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the minimal monomial generators. As a consequence, we obtain a shelling order on the facets of the subword complex.
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