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Large degree vertices in longest cycles of graphs, I

  • Binlong Li
  • , Liming Xiong
  • , Jun Yin
  • Northwestern Polytechnical University Xian
  • University of West Bohemia
  • Beijing Institute of Technology
  • Qinghai Normal University

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the least integer d such that every longest cycle of a κ-connected graph of order n (and of independent number α) contains all vertices of degree at least d.

Original languageEnglish
Pages (from-to)363-382
Number of pages20
JournalDiscussiones Mathematicae - Graph Theory
Volume36
Issue number2
DOIs
Publication statusPublished - 2016

Keywords

  • Connectivity
  • Independent number
  • Large degree vertices
  • Longest cycle
  • Order

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