TY - JOUR
T1 - Reformulated Zagreb indices of some derived graphs
AU - Liu, Jia Bao
AU - Ali, Bahadur
AU - Malik, Muhammad Aslam
AU - Siddiqui, Hafiz Muhammad Afzal
AU - Imran, Muhammad
N1 - Funding Information:
Funding: This work is partially supported by the China Postdoctoral Science Foundation under grant No. 2017M621579 and the Postdoctoral Science Foundation of Jiangsu Province under grant No. 1701081B. Project of Anhui Jianzhu University under Grant no. 2016QD116 and 2017dc03. Anhui Province Key Laboratory of Intelligent Building and Building Energy Saving.
Funding Information:
The authors are grateful to the referees for the useful comments that improved the first version of this article. This work is partially supported by the China Postdoctoral Science Foundation under grant No. 2017M621579 and the Postdoctoral Science Foundation of Jiangsu Province under grant No. 1701081B. Project of Anhui Jianzhu University under Grant no. 2016QD116 and 2017dc03. Anhui Province Key Laboratory of Intelligent Building and Building Energy Saving
Publisher Copyright:
© 2019 by the authors.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph.
AB - A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph.
KW - Degree of edge
KW - Degree of vertex
KW - Reformulated Zagreb indices
KW - Zagreb indices
UR - http://www.scopus.com/inward/record.url?scp=85066447817&partnerID=8YFLogxK
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U2 - 10.3390/math7040366
DO - 10.3390/math7040366
M3 - Article
AN - SCOPUS:85066447817
SN - 2227-7390
VL - 7
JO - Mathematics
JF - Mathematics
IS - 4
M1 - 366
ER -