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32 726 (0,291s)

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On the Hosoya index for the molecular graphs of helicenes

index of the molecular graphs of helicenes as a function of the number of hexagonsThe matching of an undirected graph G=(V,E) is a subset M of E such that no two edges of M are adjacent in G. The Hosoya index of a grap...

Applied mathematics

  • 2018
  • D
Result

The Fibonacci numbers for the molecular graphs of linear phenylenes

The concept of the Fibonacci number of an undirected graph G=(V,E) refers to the number of independent vertex subsets U of V such that no two vertices from U are adjacent in G. In this paper the Fibonacci numbers of molecular gr...

BA - Obecná matematika

  • 2016
  • Jx
Result

On the Fibonacci numbers of the molecular graphs of some bent phenylenes

The Fibonacci number f (G) of a graph G = (V;E) is defined as the number of all subsets U of V such that no two vertices in U are adjacent. Phenylenes represent a class of condensed polycyclic conjugated compounds which have the molecula...

Applied mathematics

  • 2018
  • JSC
Result

Wiener polynomial and some topological indices of a graph

The Wiener polynomial is one of the polynomials which characterize the structure of a molecular graph. The topological indices which are referred to the distance matrix of a graph are studied. A computer program was created...

BA - Obecná matematika

  • 2007
  • D
Result

Wiener polynomial and some topological indices of a graph

The Wiener polynomial is one of the polynomials which characterize the structure of a molecular graph. The topological indices which are referred to the distance matrix of a graph are studied. A computer program was created...

BA - Obecná matematika

  • 2007
  • D
Result

Polygonal knots and graphs

A knot is a simple closed curve in space, a link is a finite number of pairwise disjoint (may be somehow knotted) closed space curves. There are interesting or even surprising applications in molecular biology and organic chemistry, in codin...

BA - Obecná matematika

  • 2010
  • Jx
Result

Polygonal knots and graphs

"A knot is a simple closed curve in space, a link is a finite number of pairwise disjoint (may be somehow knotted) closed space curves. There are interesting or even surprising applications in molecular biology and organic chemistry, in codi...

BA - Obecná matematika

  • 2010
  • D
Result

Parallel low-memory quasi-Newton optimization algorithm for molecular structure

We present a novel parallel gradient optimization algorithm designed for the optimization of molecular geometry - the parallel preconditioned LBFGS (PP-LBFGS) method. In each step, several additional gradient calculations (performed in paral...

CF - Fyzikální chemie a teoretická chemie

  • 2013
  • Jx
  • Link
Result

QSPR/QSAR Analyses by Means of the CORAL Software: Results, Challenges, Perspectives

. The Monte Carlo method is the basis of this approach. Simplified Molecular Input-Line Entry System (SMILES) is used as the representation of the molecular structure. The conversion of SMILES into the molecular graph

Physical chemistry

  • 2015
  • C
  • Link
Result

The Fibonacci numbers for the molecular graphs of two types of bent hexagonal chains

The Fibonacci number of an undirected graph G=(V,E) is given by the number of subsets U of V such that no two vertices in U are adjacent. This number is one of the most popular topological indices in chemistry, which is called as the Merrifi...

Applied mathematics

  • 2017
  • D
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