نتایج جستجو برای: topological indices

تعداد نتایج: 151539  

2015
A. V. Poshakinskiy A. N. Poddubny L. Pilozzi E. L. Ivchenko

We present a theory of topological edge states in onedimensional resonant photonic crystals with compound unit cell. We demonstrate how the structure, despite being onedimensional, can be characterized by topological indices. Contrary to conventional electronic topological states the modes under consideration are radiative, i.e., they decay in time due to the light escape through the structure ...

B. KHEZRI–MOGHADDAM M. MOGHARRAB

Let G be a graph. In this paper, we study the eccentric connectivity index, the new version of the second Zagreb index and the forth geometric–arithmetic index.. The basic properties of these novel graph descriptors and some inequalities for them are established.

M. GHORBANI, M. JALALI,

Dendritic macromolecules’ have attracted much attention as organic examples of well-defined nanostructures. These molecules are ideal model systems for studying how physical properties depend on molecular size and architecture. In this paper using a simple result, some GAP programs are prepared to compute Wiener and hyper Wiener indices of dendrimers.

2001

Throughout this thesis, we observe close correlations between values of the topological growth rates and various other fractal indices. These observations are based on both analytic derivations and numerical computations of the relevant exponents. In this chapter we derive inequalities that relate our topological growth rates to existing scaling indices such as the box-counting dimension and th...

Journal: :Journal of chemical information and computer sciences 2002
Ovidiu Ivanciuc Douglas J. Klein

The expensive and time-consuming process of drug lead discovery is significantly accelerated by efficiently screening molecular libraries with a high structural diversity and selecting subsets of molecules according to their similarity toward specific collections of active compounds. To characterize the molecular similarity/diversity or to quantify the drug-like character of compounds the proce...

2014
Nilanjan De

Abstract Analogues to multiplicative Zagreb indices in this paper two new type of eccentricity related topological index are introduced called the first and second multiplicative Zagreb eccentricity indices and is defined as product of squares of the eccentricities of the vertices and product of product of the eccentricities of the adjacent vertices. In this paper we give some upper and lower b...

2017
Yasir Bashir Muhammad Rafiq Nargis Bibi

There is a natural linkage between the molecular structures and the bio-medical and pharmacology characteristics. A topological index can be considered as transformation of chemical structure in to real number and has been used as a predictor parameter. There are certain vertex-degree-based topological indices which has been used extensively in the chemical graph theory but recently no further ...

Journal: :CoRR 2014
Anirban Banerjee Ranjit Mehatari

Here we study the normalized Laplacian characteristics polynomial (L-polynomial) for trees and specifically for starlike trees. We describe how the L-polynomial of a tree depends on some topological indices. For which, we also define the higher order general Randić indices for matching and which are different from higher order connectivity indices. Finally we provide the multiplicity of the eig...

2002
Mircea V. DIUDEA Ionel Haiduc

Rev. Roum. Chim. (submitted). Abstract Similarity of two sets of cycle-containing molecular graphs: spiro-alkanes and full Hamiltonian detour cubic cages, is discussed in terms of interand intra-molecular similarity. Molecular description is given as sequences of some well known topological sequences: Distance Degree Sequence DDS, Detour Degree Sequence ∆DS, All Path Sequence APS, Shortest Path...

Journal: :The European physical journal. E, Soft matter 2008
C Sátiro F Moraes

The influence of controllable parameters like temperature and wavelength on the trajectories of light in a nematic liquid crystal with topological defects is studied through a geometric model. The model incorporates phenomenological details as how the refractive indices depend on such parameters. The deflection of light by the topological defect is then shown to be greater at lower temperatures...

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