Large degree vertices in longest cycles of graphs, II

Binlong Li; Liming Xiong; Jun Yin

doi:10.5614/ejgta.2019.7.2.7

Large degree vertices in longest cycles of graphs, II

Binlong Li, Liming Xiong, Jun Yin

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we consider the least integer d such that every k-connected graph G of order n (and of independent number s) 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.

Original language	English
Pages (from-to)	277-299
Number of pages	23
Journal	Electronic Journal of Graph Theory and Applications
Volume	7
Issue number	2
DOIs	https://doi.org/10.5614/ejgta.2019.7.2.7
Publication status	Published - 2019

Keywords

Connectivity
Independent number, large degree vertex Mathematics Subject Classification
Longest cycle

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10.5614/ejgta.2019.7.2.7

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Li, B., Xiong, L., & Yin, J. (2019). Large degree vertices in longest cycles of graphs, II. Electronic Journal of Graph Theory and Applications, 7(2), 277-299. https://doi.org/10.5614/ejgta.2019.7.2.7

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abstract = "In this paper, we consider the least integer d such that every k-connected graph G of order n (and of independent number s) 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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author = "Binlong Li and Liming Xiong and Jun Yin",

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T1 - Large degree vertices in longest cycles of graphs, II

AU - Li, Binlong

AU - Xiong, Liming

AU - Yin, Jun

PY - 2019

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AB - In this paper, we consider the least integer d such that every k-connected graph G of order n (and of independent number s) 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.

KW - Connectivity

KW - Independent number, large degree vertex Mathematics Subject Classification

KW - Longest cycle

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U2 - 10.5614/ejgta.2019.7.2.7

DO - 10.5614/ejgta.2019.7.2.7

M3 - Article

AN - SCOPUS:85074724650

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SP - 277

EP - 299

JO - Electronic Journal of Graph Theory and Applications

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IS - 2

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Large degree vertices in longest cycles of graphs, II

Abstract

Keywords

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