Large degree vertices in longest cycles of graphs, I

Binlong Li, Liming Xiong, Jun Yin

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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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Li, B., Xiong, L., & Yin, J. (2016). Large degree vertices in longest cycles of graphs, I. Discussiones Mathematicae - Graph Theory, 36(2), 363-382. https://doi.org/10.7151/dmgt.1861