相关论文: There are exponentially many ternary words that av…
We characterize the squares occurring in infinite overlap-free binary words and construct various alpha power-free binary words containing infinitely many overlaps.
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.
This paper has been withdrawn by the authors
This paper has been withdrawn by the authors due to an error.
This paper has been withdrawn by the author(s)
Two finite words $u$ and $v$ are called Abelian equivalent if each letter occurs equally many times in both $u$ and $v$. The abelian closure $\mathcal{A}(\mathbf{x})$ of (the shift orbit closure of) an infinite word $\mathbf{x}$ is the set…
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$. In this paper, we study infinite binary…
This paper has been withdrawn. The results are now part of math.GR/9804072.
This paper has been withdrawn due to a crucial theoretical error.
This paper has been withdrawn by the author, due to an important sign error in Eqn. 2.
In this paper we study the enumeration and the construction of particular binary words avoiding the pattern $1^{j+1}0^j$. By means of the theory of Riordan arrays, we solve the enumeration problem and we give a particular succession rule,…
This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.
A tangram is a word in which every letter occurs an even number of times. Thus it can be cut into parts that can be arranged into two identical words. The \emph{cut number} of a tangram is the minimum number of required cuts in this…
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.
This paper has been withdrawn. The authors realized that the obtained results were not new.