In this paper, using graph theory tools, we determine the topological indices namely, Randic index, atomic bond connectivity index, Zagreb types indices, Sanskruti index for face-centred cubic lattice $FCC(n)$.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Face-centred cubic lattice $FCC(n)$ has attracted large attention in recent years owing to its distinguished properties and non-toxic nature, low-cost, abundance, and simple fabrication process.
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Temel Bulgular & Veri:The graphs of face-centred cubic lattice contain cube points and face centres.
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Sonuç & Katkı:In this paper, using graph theory tools, we determine the topological indices namely, Randic index, atomic bond connectivity index, Zagreb types indices, Sanskruti index for face-centred cubic lattice $FCC(n)$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Randic index · atomic bond connectivity index · Zagreb types indices
Abstract
Face-centred cubic lattice $FCC(n)$ has attracted large attention in recent years owing to its distinguished properties and non-toxic nature, low-cost, abundance, and simple fabrication process. The graphs of face-centred cubic lattice contain cube points and face centres. A topological index of a chemical graph $G$ is a numeric quantity related to $G$ which describes its topological properties. In this paper, using graph theory tools, we determine the topological indices namely, Randic index, atomic bond connectivity index, Zagreb types indices, Sanskruti index for face-centred cubic lattice $FCC(n)$.
IMRAN, M., SİDDİQUİ, M. K., SAEED, M. (2022). Topological properties of face-centred cubic lattice. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 195–207. https://ajindex.com/articles/529653
D. Amic, D. Beslo, B. Lucic, S. Nikolic, N. Trinajstic, The vertex-connectivity index revisited, J. Chem. Inf. Comput. Sci. 38, 819-822, 1998
M. Bača, J. Horváthová, M. Mokrišová, A. Suhányiová, On topological indices of fullerenes, Appl. Math. Comput. 251, 154-161, 2015
R.J. Bie, M. K. Siddiqui, R. Razavi, M. Taherkhani, M. Najaf, Possibility of C38 and Si19Ge19 Nanocages in Anode of Metal Ion Batteries: Computational Examination, Acta Chim. Slov. 65, 303-311, 2018
B. Bollob´as, P. Erdos, Graphs of extremal weights, Ars. Combi. 50, 225-233, 1998
G. Caporossi, I. Gutman, P. Hansen, L. Pavlovic, Graphs with maximum connectivity index, Comput. Bio. Chem. 27, 85-90, 2003
J.H. Conway, N.J.A. Sloane, Sphere packings, lattices, and groups, 2nd ed, Springer- Verlag, New York, 1993
A.A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: Theory and applications, Acta. Appl. Math. 66, 211-249, 2001
T. Doslic, Vertex-weighted Wiener polynomials for composite graphs, Ars. Math.Contemp. 1, 66-80, 2008
E. Estrada, L. Torres, L. Rodr´iguez, I. Gutman, An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes, Indian. J. Chem. 37A, 849-855, 1998
W. Gao and M. K. Siddiqui, Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks, J. of. Chem., 2017, 1–10, 2017
W. Gao, M. K. Siddiqui, M. Imran, M. K. Jamil, M.R. Farahani, Forgotten Topological Index of Chemical Structure in Drugs, Saudi Pharm. J. 24, 258-267, 2016
W. Gharibi, A. Ahmad, M. K. Siddiqui, On Zagreb Indices, Zagreb Polynomials of Nanocone and Nanotubes, J. Comput. Theor. Nanosci. 13, 5086-5092, 2016
I. Gutman, C. N. Das, The first Zagreb index 30 years after, MATCH. Commun. Math. Comput. Chem. 50, 83-92, 2004
I. Gutman, K. C. Das, Some Properties of the Second Zagreb Index, MATCH. Commun. Math. Comput. Chem. 50, 103-112, 2004
I. Gutman, B. Furtula, Z. K. Vukicevic, G. Popivoda, On Zagreb indices and Coindices, MATCH. Commun. Math. Comput. Chemmm. 74, 5-16, 2015
I. Gutman, N. Trinajst, Graph theory and molecular orbitals, Total $\pi$-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, 535-538, 1972
S.M. Hosamani, Computing Sanskruti index of certain nanostructures, J. Appl. Math. Comput. 54, 425–433, 2016