###### Redefined Zagreb indices of Some Nano Structures

Zagreb index was also independently defined by Mansour and Song [ 15 ]. Moreover, the generalized version was presented in [ 23 ]. There have been many advances in Wiener index, Szeged index, PI index, and other degree-based or distance-based indices of molecular graphs, while the study of the redefined Zagreb indices of nano structures has been largely limited. Furthermore, nanotube, nanostar, polyomino chain and benzenoid series are critical and widespread molecular structures which have been widely applied in medical science, chemical engineering and

###### Future Biotechnology

limited effectiveness. Nanotechnology now provides the tools for nano-texturing the surfaces of materials for medical implants, with the aim to mimic the bactericidal properties of some animal, plant and insect species, and their topographical features. For example, the surface nano-structures of cicada, dragonfly and butterfly wings, shark skin, gecko feet, taro and lotus leaves provide self-cleaning and bactericidal properties ( 8 ). That type of bioinspiration provides great innovations in providing some biological-like characteristics that can be used to guide the

###### Transient bioimpedance monitoring of mechanotransduction in artificial tissue during indentation

. European journal of cell biology, 2004:83(4):159-169. http://dx.doi.org/10.1078/0171-9335-00369 10.1078/0171-9335-00369 15260438 Dalby MJ Riehle MO Sutherland DS Agheli H Curtis AS Use of nanotopography to study mechanotransduction in fibroblasts–methods and perspectives European journal of cell biology 2004 83 4 159 – 169 http://dx.doi.org/10.1078/0171-9335-00369 21 Martinez E, Engel E, Planell JA, Samitier J. Effects of artificial micro-and nano-structured surfaces on cell behaviour. Annals of Anatomy-Anatomischer Anzeiger, 2009

###### Oil characteristics of safflower seeds under different nutrient and moisture management

(2001) Effects of water-deficit on lipids of safflower aerial parts. Phytochemistry. 58: 277-280. Hänsch R, Mendel RR (2009) Physiological functions of mineral micronutrients (Cu, Zn, Mn, Fe, Ni, Mo, B, Cl). Curr. Opin. Plant Biol. 12: 259-266. Janmohammadi M, Amanzadeh T, Sabaghnia N, Ion V (2016) Effect of nano-silicon foliar application on safflower growth under organic and inorganic fertilizer regimes. Bot. Lith. 22: 53-64. Janmohammadi M, Sabaghnia N, Seifi A, Pasandi M (2017) The impacts of nano-structured nutrients on chickpea performance

###### Preparation of metal nanoparticles by femtosecond laser ablation

-802. Singh SC, Gopal R (2007) Zinc nanoparticles in solution by laser ablation technique. Bull. Mater. Sci. 30: 291-293. Teplicky T, Horilova J, Bruncko J, Gladine C, Lajdova I, Mateasik A, Chorvat DJr, Marcek Chorvatova A (2015) Flavin fluorescence lifetime imaging of living peripheral blood mononuclear cells on micro and nano-structured surfaces. In Periasamy A, Konig K, SO PTC (Eds.), Multiphoton microscopy in the biomedical sciences XV, Book Series 9329: 93290D-01 to 93290D-10. Teplicky T, Danisova M, Valica M, Chorvat D Jr, Marcek Chorvatova A (2017

###### Revan and hyper-Revan indices of Octahedral and icosahedral networks

.1021/jacs.5b10666 [2] Y. Liu et al. (2016), Weaving of organic threads into crystalline covalent organic frameworks, Science, 351, 365–369. 10.1126/science.aad4011 Liu Y. 2016 Weaving of organic threads into crystalline covalent organic frameworks Science 351 365 369 10.1126/science.aad4011 [3] B. Zhao, J. H. Gan, H. L. Wu, (2016), Redefined Zagreb indices of Some Nano Structures, Applied Mathematics and Nonlinear Sciences, 1, 291–300. 10.21042/AMNS.2016.1.00024 Zhao B. Gan J.H. Wu H.L. 2016 Redefined Zagreb indices of Some Nano Structures Applied Mathematics and

###### Computing topological indices of the line graphs of Banana tree graph and Firecracker graph

-Whittaker-Kotel’nikov’s Theorem Generalized , MATCH Communications in Mathematical and in Computer Chemistry, 73, No 2, 385-396. Antuña A. Guirao J. L. G. López M. A. 2015 Shannon-Whittaker-Kotel’nikov’s Theorem Generalized MATCH Communications in Mathematical and in Computer Chemistry 73 2 385 396 [3] M. Azari and A. Iranmanesh, (2014), Harary Index of Some Nano-Structures , MATCH Communications in Mathematical and in Computer Chemistry, 71, No 2, (2014), 373-382. Azari M. Iranmanesh A. 2014 Harary Index of Some Nano-Structures MATCH Communications in Mathematical and in Computer Chemistry

###### Degree-based indices computation for special chemical molecular structures using edge dividing method

2 ,···, ν d ) of { G i } i = 1 d $\begin{array}{} \displaystyle \{G_{i}\}_{i=1}^{d} \end{array}$ with respect to the vertices { ν i } i = 1 d $\begin{array}{} \displaystyle \{\nu_{i}\}_{i=1}^{d} \end{array}$ is yielded from the graphs G 1 , G 2 ,···, G d in which the vertices ν i and ν i +1 are connected by an edge for i = 1, 2,·, d − 1. The main result of this section is determining the formulas of some degree based indices for the infinite family of nano structures of bridge graph with G 1 , G 2 ,···, G d (see Figure 4 ). We set G d ( H

###### Convexity result and trees with large Balaban index

, Bounds on the Balaban index of trees, MATCH Commun. Math. Comput. Chem . 63 (2010) 813–818. Sun L. Bounds on the Balaban index of trees MATCH Commun. Math. Comput. Chem 63 2010 813 – 818 [27] R. Todeschini, V. Consonni, Handbook of Molecular Descriptors Wiley CH, Weinheim, 2000. 10.1002/9783527613106 Todeschini R. Consonni V. Handbook of Molecular Descriptors Wiley CH, Weinheim 2000 10.1002/9783527613106 [28] B. Zhao, J. Gan, H. Wu, Redefined Zagreb indices of Some Nano Structures Applied Mathematics and Nonlinear Sciences 2 (2016) 291