Maximum Resistance-Harary index of cacti

Wei Fang, Yi Wang, Jia Bao Liu, Guangming Jing

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The Resistance-Harary index of a connected graph [Formula presented] is defined as [Formula presented] where [Formula presented] is the resistance distance between vertices [Formula presented] and[Formula presented] in [Formula presented]. A connected graph [Formula presented] is said to be a cactus if each of its blocks is either an edge or a cycle. Let [Formula presented] be the set of all cacti of order [Formula presented] containing exactly [Formula presented] cycles. In this paper, we characterize the graphs with maximum Resistance-Harary index among all graphs in [Formula presented].

Original languageEnglish (US)
Pages (from-to)160-170
Number of pages11
JournalDiscrete Applied Mathematics
Volume251
DOIs
StatePublished - Dec 31 2018
Externally publishedYes

Keywords

  • Cactus
  • Resistance distance
  • Resistance-Harary index

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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