The cycle index of dihedral group acting on the set of the vertices of a regular-gon was studied (See [1]). In this paper we study the cycle index formulas of acting on unordered pairs from the set. In each case the actions of the cyclic part and the reflection part are studied separately for both an even value of and an odd value of. 1
The purpose of this study is to investigate certain basic group properties as they apply specificall...
In mathematical chemistry, a topological index is a molecular descriptor that is calculated based on...
AbstractAlgebraic inversion of cycle index sum relations is employed to derive new algorithms for co...
The cycle index of dihedral group.......... More information can be found in the full paper
AbstractA new and useful operation on permutation groups is defined and studied. A formula for the c...
Assume is a non-abelian group A dihedral group is the group of symmetries of a regular polygon, wh...
If M and H are permutation groups with cycle indices ZM and ZH respectively, and if is some binar...
Abstract. The cycle index polynomial of a symmetric group is a basic tool in combinatorics and espec...
Topological indices are numerical values that can be analysed to predict the chemical properties of ...
The coprime graph is defined as a graph where two distinct vertices are adjacent if and only if the ...
This paper studies the cycle indices of products of permutation groups. The main focus is on the pro...
In this brief work we express the cycle index of the molecular point groups as a function of a limit...
This paper defines and develops cycle indices for the finite classical groups. These tools are then ...
We identify a cocycle on the dihedral group $D_n$ of $2_n$ elements which results in a new class of ...
Nowadays, it is an important task to find extremal values on any molecular descriptor with respect t...
The purpose of this study is to investigate certain basic group properties as they apply specificall...
In mathematical chemistry, a topological index is a molecular descriptor that is calculated based on...
AbstractAlgebraic inversion of cycle index sum relations is employed to derive new algorithms for co...
The cycle index of dihedral group.......... More information can be found in the full paper
AbstractA new and useful operation on permutation groups is defined and studied. A formula for the c...
Assume is a non-abelian group A dihedral group is the group of symmetries of a regular polygon, wh...
If M and H are permutation groups with cycle indices ZM and ZH respectively, and if is some binar...
Abstract. The cycle index polynomial of a symmetric group is a basic tool in combinatorics and espec...
Topological indices are numerical values that can be analysed to predict the chemical properties of ...
The coprime graph is defined as a graph where two distinct vertices are adjacent if and only if the ...
This paper studies the cycle indices of products of permutation groups. The main focus is on the pro...
In this brief work we express the cycle index of the molecular point groups as a function of a limit...
This paper defines and develops cycle indices for the finite classical groups. These tools are then ...
We identify a cocycle on the dihedral group $D_n$ of $2_n$ elements which results in a new class of ...
Nowadays, it is an important task to find extremal values on any molecular descriptor with respect t...
The purpose of this study is to investigate certain basic group properties as they apply specificall...
In mathematical chemistry, a topological index is a molecular descriptor that is calculated based on...
AbstractAlgebraic inversion of cycle index sum relations is employed to derive new algorithms for co...