The Hamiltonian index of a graph

Liming Xiong

doi:10.1007/s003730170016

The Hamiltonian index of a graph

Liming Xiong^*

^*Corresponding author for this work

Jiangxi Normal University

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

8 Citations (Scopus)

Abstract

It is proved that the hamiltonian index of a connected graph other than a path is less than its diameter which improves the results of P. A. Catlin etc. [J. Graph Theory 14 (1990) 347-364] and M. L. Saražin [Discrete Math. 134(1994)85-91]. Nordhaus-Gaddum's inequalities for the hamiltonian index of a graph are also established.

Original language	English
Pages (from-to)	775-784
Number of pages	10
Journal	Graphs and Combinatorics
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/s003730170016
Publication status	Published - 2001
Externally published	Yes

Keywords

Diameter
Hamiltonian index
Nordhaus-Gaddum's inequality

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10.1007/s003730170016

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AB - It is proved that the hamiltonian index of a connected graph other than a path is less than its diameter which improves the results of P. A. Catlin etc. [J. Graph Theory 14 (1990) 347-364] and M. L. Saražin [Discrete Math. 134(1994)85-91]. Nordhaus-Gaddum's inequalities for the hamiltonian index of a graph are also established.

KW - Diameter

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KW - Nordhaus-Gaddum's inequality

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The Hamiltonian index of a graph

Abstract

Keywords

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