On reciprocal degree distance of graphs

Mingqiang An, Yinan Zhang, Kinkar Chandra Das*, Yilun Shang

*Corresponding author for this work

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Abstract

Given a connected graph , its reciprocal degree distance is defined as where denotes the degree of the vertex in the graph and is the shortest distance between and in . The goal of this paper is to establish some sufficient conditions to judge that a graph to be -hamiltonian, -path-coverable or -edge-hamiltonian by employing the reciprocal degree distance. [Abstract copyright: © 2023 The Authors.]
Original languageEnglish
Article numbere17914
JournalHeliyon
Volume9
Issue number7
Early online date4 Jul 2023
DOIs
Publication statusPublished - Jul 2023

Keywords

  • ħ-path-coverable
  • ħ-hamiltonian
  • ħ-edge-hamiltonian
  • Reciprocal degree distance

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