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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Jun Yin
School of Computer Science, Qinghai Normal University, Xining, 810008, P.R. China
Electrical & Electronics Engineering

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Large degree vertices in longest cycles of graphs, II Binlong Li; Liming Xiong; Jun Yin
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 7, No 2 (2019): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2019.7.2.7

Abstract

In this paper, we consider the least integer d such that every k-connected graph G of order n (and of independent number α) has a longest cycle containing all vertices of degree at least d. We completely determine the d when k = 2. We propose a conjecture for those k-connected graph, where k ≥ 3.
Co-Authors Binlong Li Liming Xiong