Generalized Zagreb index of some dendrimer structures

Prosanta Sarkar; Nilanjan De; İsmail Naci Cangül; Anita Pal

doi:10.32323/ujma.425103

EN

Generalized Zagreb index of some dendrimer structures

Abstract

Chemical graph theory, is a branch of mathematical chemistry which deals with the nontrivial applications of graph theory to solve molecular problem. A chemical graph is represent a molecule by considering the atoms as the vertices and bonds between them as the edges. A topological index is a graph based molecular descriptor, which is graph theoretic invariant characterising some physicochemical properties of chemical compounds. Dendrimers are generally large, complex, and hyper branched molecules synthesized by repeatable steps with nanometre scale measurements. In this paper, we study the $(a,b)$-Zagreb index of some regular dendrimers and hence obtain some vertex degree based topological indices.

Keywords

Dendrimers,Generalized Zagreb index,Vertex degree-based topological indices

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Prosanta Sarkar This is me
India

Nilanjan De ^*
0000-0001-9143-7045
India

İsmail Naci Cangül
Türkiye

Anita Pal This is me
India

Publication Date

September 30, 2018

Submission Date

May 18, 2018

Acceptance Date

September 8, 2018

Published in Issue

Year 2018 Volume: 1 Number: 3

DOI

https://doi.org/10.32323/ujma.425103

IZ

https://izlik.org/JA89ZF83FG

APA

Sarkar, P., De, N., Cangül, İ. N., & Pal, A. (2018). Generalized Zagreb index of some dendrimer structures. Universal Journal of Mathematics and Applications, 1(3), 160-165. https://doi.org/10.32323/ujma.425103

AMA

1.Sarkar P, De N, Cangül İN, Pal A. Generalized Zagreb index of some dendrimer structures. Univ. J. Math. Appl. 2018;1(3):160-165. doi:10.32323/ujma.425103

Chicago

Sarkar, Prosanta, Nilanjan De, İsmail Naci Cangül, and Anita Pal. 2018. “Generalized Zagreb Index of Some Dendrimer Structures”. Universal Journal of Mathematics and Applications 1 (3): 160-65. https://doi.org/10.32323/ujma.425103.

EndNote

Sarkar P, De N, Cangül İN, Pal A (September 1, 2018) Generalized Zagreb index of some dendrimer structures. Universal Journal of Mathematics and Applications 1 3 160–165.

IEEE

[1]P. Sarkar, N. De, İ. N. Cangül, and A. Pal, “Generalized Zagreb index of some dendrimer structures”, Univ. J. Math. Appl., vol. 1, no. 3, pp. 160–165, Sept. 2018, doi: 10.32323/ujma.425103.

ISNAD

Sarkar, Prosanta - De, Nilanjan - Cangül, İsmail Naci - Pal, Anita. “Generalized Zagreb Index of Some Dendrimer Structures”. Universal Journal of Mathematics and Applications 1/3 (September 1, 2018): 160-165. https://doi.org/10.32323/ujma.425103.

JAMA

1.Sarkar P, De N, Cangül İN, Pal A. Generalized Zagreb index of some dendrimer structures. Univ. J. Math. Appl. 2018;1:160–165.

MLA

Sarkar, Prosanta, et al. “Generalized Zagreb Index of Some Dendrimer Structures”. Universal Journal of Mathematics and Applications, vol. 1, no. 3, Sept. 2018, pp. 160-5, doi:10.32323/ujma.425103.

Vancouver

1.Prosanta Sarkar, Nilanjan De, İsmail Naci Cangül, Anita Pal. Generalized Zagreb index of some dendrimer structures. Univ. J. Math. Appl. 2018 Sep. 1;1(3):160-5. doi:10.32323/ujma.425103