Large degree vertices in longest cycles of graphs, II

Large degree vertices in longest cycles of graphs, II

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....

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Main Authors: Li, Binlong; Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P.R. China (Author), Xiong, Liming; School of Mathematics and Statistics, and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, 100081, P.R. China (Author), Yin, Jun; School of Computer Science, Qinghai Normal University, Xining, 810008, P.R. China (Author)
Format: EJournal Article
Udgivet: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2019-10-10.
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info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
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