On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs

Hong Yang, Muhammad Imran, Shehnaz Akhter, Zahid Iqbal, Muhammad Kamran Siddiqui

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


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.

Original languageEnglish
Article number8854129
Pages (from-to)143381-143391
Number of pages11
JournalIEEE Access
Publication statusPublished - 2019


  • Topological indices
  • degree
  • distance
  • eccentricity
  • subdivision vertex-edge join

ASJC Scopus subject areas

  • General Computer Science
  • General Materials Science
  • General Engineering


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