A Note on Vertex-Neighbor-Integrity of Sequential-Joined Graphs

Zong Tian Wei; An Chan Mai; Yong Liu

doi:10.4028/www.scientific.net/AMM.525.639

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 525A Note on Vertex-Neighbor-Integrity of...

A Note on Vertex-Neighbor-Integrity of Sequential-Joined Graphs

Abstract:

The graphical parameter vertex-neighbor-integrity was introduced by Cozzens to measure invulnerability of networks. Dündar and Ozan discussed this parameter's properties of sequential-joined graphs. Unfortunately, the authors considered some special cases only and many mistakes appeared in their work. In this paper, based on our works done in 2005, we correct Dündar and Ozan's mistakes and discuss some related questions.

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Periodical:

Applied Mechanics and Materials (Volume 525)

Pages:

639-641

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.525.639

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Online since:

February 2014

Authors:

Zong Tian Wei*, An Chan Mai, Yong Liu

Keywords:

Invulnerability, Property, Sequential-Joined Graph, Vertex-Neighbor-Integrity

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* - Corresponding Author

References

[1] M. Cozzens and S. Wu, Vertex-Neighbor-Integrity of Trees, Ars Combinatoria 43 (1996), 169-180.

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[2] Z. Wei, M. Li and A. Mai, Vertex-neighbor-integrity of sequential joined graphs, Basic Sciences Journal of Textile Universities, 18 (3) (2005), 202-206.

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[3] P. Dündar and A. Ozan, On the neighbor-integrity of sequential joined graphs, International. J. Computer Math. 74 (2000) 45-52.

DOI: 10.1080/00207160008804921

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