TY - JOUR
T1 - Topological characterization for the line graph of nanostructures
AU - Xu, Jianzhong
AU - Siddiqui, Muhammad K.
AU - Imran, Muhammad
N1 - Funding Information:
This work was supported by the Teaching Groups in Anhui Province (2016jytd080); the Natural Science Foundation of the Education Department of Anhui Province (KJ2019A1303); the Key Program of the Excellent Young Talents Support of Higher Education in Anhui Province (gxyq2018116); the Natural Science Foun- dation of Bozhou University (BYZ2018B03).
Funding Information:
This work was supported by the Teaching Groups in Anhui Province (2016jytd080); the Natural Science Foundation of the Education Department of Anhui Province (KJ2019A1303); the Key Program of the Excellent Young Talents Support of Higher Education in Anhui Province (gxyq2018116); the Natural Science Foundation of Bozhou University (BYZ2018B03).
Publisher Copyright:
©2019 Academic Publications.
PY - 2019
Y1 - 2019
N2 - A numerical quantity that characterizes the whole structure of a graph is called a topological index. More preciously topological indices are num-bers associated with molecular graphs for the purpose of allowing quantitative structure-activity/ property/ toxicity relationships. These topological indices correlate certain physico-chemical properties like boiling point, stability, strain energy etc of chemical compounds. The concepts of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials were established in chemical graph theory based on vertex degrees. These in-dices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we determine the hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials of the line graph of 2D-lattice, nanotube and nanotorus of TUC4C8[p, q] by using the concept of subdivision.
AB - A numerical quantity that characterizes the whole structure of a graph is called a topological index. More preciously topological indices are num-bers associated with molecular graphs for the purpose of allowing quantitative structure-activity/ property/ toxicity relationships. These topological indices correlate certain physico-chemical properties like boiling point, stability, strain energy etc of chemical compounds. The concepts of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials were established in chemical graph theory based on vertex degrees. These in-dices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we determine the hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials of the line graph of 2D-lattice, nanotube and nanotorus of TUC4C8[p, q] by using the concept of subdivision.
KW - Hyper Zagreb index
KW - Line graph
KW - Multiple Zagreb index
KW - Nanostructures
KW - Subdivision graph
KW - Zagreb polynomials
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U2 - 10.12732/ijam.v32i6.11
DO - 10.12732/ijam.v32i6.11
M3 - Article
AN - SCOPUS:85079135805
SN - 1311-1728
VL - 32
SP - 1051
EP - 1067
JO - International Journal of Applied Mathematics
JF - International Journal of Applied Mathematics
IS - 6
ER -