1 citations · 1 across the 7 of their papers we have counts for
7 papers
Pattern avoidance in permutations and their rotations
Ömer Eğecioğlu, Collier Gaiser, Mei Yin
A rotation of a permutation is a new permutation obtained by moving the first several terms of the permutation to the end of the permutation. A circular permutation is the set of a…
On Languages Generated by Signed Grammars
Ömer Eğecioğlu, Benedek Nagy
We consider languages defined by signed grammars which are similar to context-free grammars except productions with signs associated to them are allowed. As a consequence, the word…
Enumerating pattern-avoiding permutations by leading terms
Ömer Eğecioğlu, Collier Gaiser, Mei Yin
The number of 123-avoiding permutation on with a fixed leading terms is counted by the ballot numbers. The same holds for -avoiding permutations. These resu…
The Mostar index of Fibonacci and Lucas cubes
Ömer Eğecioğlu, Elif Saygı, Zülfükar Saygı
The Mostar index of a graph was defined by Došlić, Martinjak, Škrekovski, Tipurić Spužević and Zubac in the context of the study of the properties of chemical graphs. It measures h…
A Multilinear Operator for Almost Product Evaluation of Hankel Determinants
Omer Egecioglu, Timothy Redmond, Charles Ryavec
In a recent paper we have presented a method to evaluate certain Hankel determinants as almost products; i.e. as a sum of a small number of products. The technique to find the expl…
A prime sensitive Hankel determinant of Jacobi symbol enumerators
Omer Egecioglu
We show that the determinant of a Hankel matrix of odd dimension n whose entries are the enumerators of the Jacobi symbols which depend on the row and the column indices vanishes i…