Results 31 to 40 of about 18,171 (291)

On the eccentric atom-bond sum-connectivity index

Open Journal of Discrete Applied Mathematics
The eccentric atom-bond sum-connectivity \(\left(ABSC_{e}\right)\) index of a graph \(G\) is defined as \(ABSC_{e}(G)=\sum\limits_{uv\in E(G)}\sqrt{\frac{e_{u}+e_{v}-2}{e_{u}+e_{v}}}\), where \(e_{u}\) and \(e_{v}\) represent the eccentricities of \(u\) and \(v\) respectively. This work presents precise upper and lower bounds for the \(ABSC_{e}\) index
Zaryab Hussain, Muhammad Ahsan Binyamin
openalex   +2 more sources

On the Exponential Atom-Bond Connectivity Index of Graphs

Mathematics
Several topological indices are possibly the most widely applied graph-based molecular structure descriptors in chemistry and pharmacology. The capacity of topological indices to discriminate is a crucial component of their study.
Kinkar Chandra Das
doaj   +2 more sources

Maximum atom-bond connectivity index with given graph parameters

Discrete Applied Mathematics, 2016
16 pages ...
Zhang, Xiu-Mei, Yang, Yu, Wang, Hua, Zhang, Xiao-Dong   +3 more
openaire   +4 more sources

Atom–bond connectivity index of graphs: a review over extremal results and bounds [PDF]

Discrete Mathematics Letters, 2021
Akbar Ali, Kinkar Ch. Das, Darko Dimitrov, Boris Furtula   +3 more
doaj   +2 more sources

Analysis of the properties of the topological Index using (analysis tools)

Al-Kitab Journal for Pure Sciences, 2023
Graph G has two sets of information: the vertices, V(G), and the edges, E(G). The definitions for the Connectivity, Geometric Arithmetic, Atomic Bond, and Sum Connectivity Indices of G: were deg(u), deg(v) are a degree of vertices. Dendrimers are
Batool Hatawi, Nabil Aref
doaj   +1 more source

Topological Descriptors of M-Carbon Mr,s,t

Journal of Chemistry, 2021
We have studied topological indices of the one the hardest crystal structures in a given chemical system, namely, M-carbon. These structures are based and obtained by the famous algorithm USPEX. The computations and applications of topological indices in
Hong Yang, Muhammad Naeem
doaj   +1 more source

The atom bond connectivity index of some trees and bicyclic graphs [PDF]

, 2015
The atom bond connectivity (ABC) index is one of the recently most investigated degree-based molecular structure descriptors that have applications in chemistry.
Hasni @ Abdullah, Roslan, Khalaf, Abdul Jalil Manshad, Md. Said, Mohamad Rushdan, Mohammed, Mohanad Ali, Mohd Atan, Kamel Ariffin   +4 more
core   +1 more source

Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

Advances in Materials Science and Engineering, 2019
In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index ...
Fei Deng, Xiujun Zhang, Mehdi Alaeiyan, Abid Mehboob, Mohammad Reza Farahani   +4 more
doaj   +1 more source

Block bond-order potential as a convergent moments-based method [PDF]

, 1999
The theory of a novel bond-order potential, which is based on the block Lanczos algorithm, is presented within an orthogonal tight-binding representation.
A. Canning, A. Warshel, A.F. Voter, A.P. Horsfield, A.P. Horsfield, A.P. Horsfield, A.P. Horsfield, A.P. Horsfield, A.P. Sutton, C. Lanczos, C.H. Xu, D. Conrad, D. G. Pettifor, D.G. Pettifor, D.G. Pettifor, D.G. Pettifor, D.G. Pettifor, D.M.C. Nicholson, D.R. Bowler, D.R. Bowler, F. Mauri, F. Mauri, G. Galli, G. Galli, G. Golub, I.I. Oleinik, J. Inoue, J.C. Slater, J.D. Kress, L. Goodwin, M. Aoki, M. Aoki, M.K. Gilson, M.R. Falvo, M.S. Daw, O.F. Sankey, R. Haydock, R. Haydock, R. Haydock, R. Jones, S. Goedecker, S. Goedecker, S. Goedecker, S. Iijima, S.T. Wlodek, T. Ozaki, T. Ozaki, V. Heine, W. Kohn, W.T. Yang, X.-P. Li   +50 more
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Topological Indices of Certain Transformed Chemical Structures

Journal of Chemistry, 2020
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo, Jia-Bao Liu, Hifza Iqbal, Kashif Ali, Syed Tahir Raza Rizvi   +4 more
doaj   +1 more source