On distance local connectivity and the hamiltonian index

Přemysl Holub; Liming Xiong

doi:10.1016/j.disc.2008.07.010

On distance local connectivity and the hamiltonian index

Přemysl Holub^*
, Liming Xiong

^*Corresponding author for this work

School of Mathematics and Statistics

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

2 Citations (Scopus)

Abstract

In this paper we introduce the concept of distance local connectivity of a graph. We give several sufficient conditions in terms of the independence number and of the vertex degrees, and we show a relation between the distance local connectivity and the hamiltonian index of a graph.

Original language	English
Pages (from-to)	2798-2807
Number of pages	10
Journal	Discrete Mathematics
Volume	309
Issue number	9
DOIs	https://doi.org/10.1016/j.disc.2008.07.010
Publication status	Published - 6 May 2009

Keywords

Degree condition
Distance local connectivity
Hamiltonian index
Independence number

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10.1016/j.disc.2008.07.010

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title = "On distance local connectivity and the hamiltonian index",

abstract = "In this paper we introduce the concept of distance local connectivity of a graph. We give several sufficient conditions in terms of the independence number and of the vertex degrees, and we show a relation between the distance local connectivity and the hamiltonian index of a graph.",

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author = "P{\v r}emysl Holub and Liming Xiong",

year = "2009",

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T1 - On distance local connectivity and the hamiltonian index

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AU - Xiong, Liming

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N2 - In this paper we introduce the concept of distance local connectivity of a graph. We give several sufficient conditions in terms of the independence number and of the vertex degrees, and we show a relation between the distance local connectivity and the hamiltonian index of a graph.

AB - In this paper we introduce the concept of distance local connectivity of a graph. We give several sufficient conditions in terms of the independence number and of the vertex degrees, and we show a relation between the distance local connectivity and the hamiltonian index of a graph.

KW - Degree condition

KW - Distance local connectivity

KW - Hamiltonian index

KW - Independence number

UR - https://www.scopus.com/pages/publications/67349211533

U2 - 10.1016/j.disc.2008.07.010

DO - 10.1016/j.disc.2008.07.010

M3 - Article

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VL - 309

SP - 2798

EP - 2807

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 9

ER -

On distance local connectivity and the hamiltonian index

Abstract

Keywords

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