TY - JOUR
T1 - Computing topological indices and polynomials for line graphs
AU - Imran, Shahid
AU - Siddiqui, Muhammad Kamran
AU - Imran, Muhammad
AU - Nadeem, Muhammad Faisal
N1 - Funding Information:
Funding: This research is supported by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233, UPAR Grant of UAEU via Grant No. G00002590 and by the Summer Undergraduate Research Experience (SURE) plus 2017 research Grant via Grant No. G00002412.
Publisher Copyright:
© 2018 by the authors.
PY - 2018/8/10
Y1 - 2018/8/10
N2 - A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.
AB - A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.
KW - First and second Zagreb index
KW - Hyper Zagreb index
KW - Ladder
KW - Line graph
KW - Multiple Zagreb indices
KW - Subdivision graph
KW - Tadpole
KW - Wheel
KW - Zagreb polynomials
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U2 - 10.3390/math6080137
DO - 10.3390/math6080137
M3 - Article
AN - SCOPUS:85052785505
SN - 2227-7390
VL - 6
JO - Mathematics
JF - Mathematics
IS - 8
M1 - 137
ER -