TY - JOUR
T1 - On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs
AU - Yang, Hong
AU - Imran, Muhammad
AU - Akhter, Shehnaz
AU - Iqbal, Zahid
AU - Siddiqui, Muhammad Kamran
N1 - Funding Information:
This work was supported in part by the Soft Scientific Research of Sichuan Province under Grant 2018ZR0265, in part by the Sichuan Military and Civilian Integration Strategy Research Center under Grant JMRH-1818, in part by the Sichuan Provincial Department of Education (Key Project) under Grant 18ZA0118, and in part by the Start-Up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates, under Grant G00002233, and in part by the UPAR Grant of UAEU under Grant G00002590.
Publisher Copyright:
© 2013 IEEE.
PY - 2019
Y1 - 2019
N2 - The analysis of networks and graphs through topological descriptors carries out a useful role to derive their underlying topologies. This process has been widely used in biomedicine, cheminformatics, and bioinformatics, where assessments based on graph invariants have been made available for effectively communicating with the various challenging schemes. In the studies of quantitative structure-activity relationships (QSARs) and quantitative structure-property relationships (QSPRs), graph invariants are used to approximate the biological activities and properties of chemical compounds. In this paper, we give the results related to the eccentric-connectivity index, connective eccentricity index, total-eccentricity index, average eccentricity index, Zagreb eccentricity indices, eccentric geometric-arithmetic index, eccentric atom-bond connectivity index, eccentric adjacency index, modified eccentric-connectivity index, eccentric distance sum, Wiener index, Harary index, hyper-Wiener index and degree distance index of a new graph operation named as 'subdivision vertex-edge join' of three graphs.
AB - The analysis of networks and graphs through topological descriptors carries out a useful role to derive their underlying topologies. This process has been widely used in biomedicine, cheminformatics, and bioinformatics, where assessments based on graph invariants have been made available for effectively communicating with the various challenging schemes. In the studies of quantitative structure-activity relationships (QSARs) and quantitative structure-property relationships (QSPRs), graph invariants are used to approximate the biological activities and properties of chemical compounds. In this paper, we give the results related to the eccentric-connectivity index, connective eccentricity index, total-eccentricity index, average eccentricity index, Zagreb eccentricity indices, eccentric geometric-arithmetic index, eccentric atom-bond connectivity index, eccentric adjacency index, modified eccentric-connectivity index, eccentric distance sum, Wiener index, Harary index, hyper-Wiener index and degree distance index of a new graph operation named as 'subdivision vertex-edge join' of three graphs.
KW - Topological indices
KW - degree
KW - distance
KW - eccentricity
KW - subdivision vertex-edge join
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U2 - 10.1109/ACCESS.2019.2944860
DO - 10.1109/ACCESS.2019.2944860
M3 - Article
AN - SCOPUS:85074185855
SN - 2169-3536
VL - 7
SP - 143381
EP - 143391
JO - IEEE Access
JF - IEEE Access
M1 - 8854129
ER -