On the g-good-neighbor connectivity of graphs

Zhao Wang; Yaping Mao; Sun Yuan Hsieh; Jichang Wu

doi:10.1016/j.tcs.2019.11.021

On the g-good-neighbor connectivity of graphs

Zhao Wang, Yaping Mao, Sun Yuan Hsieh, Jichang Wu

Department of Computer Science and Information Engineering

Research output: Contribution to journal › Article

Abstract

Connectivity and diagnosability are two important parameters for the fault tolerant of an interconnection network G. In 1996, Fàbrega and Fiol proposed the g-good-neighbor connectivity of G. In this paper, we show that 1≤κ^g(G)≤n−2g−2 for [Formula presented], and graphs with κ^g(G)=1,2 and trees with κ^g(T_n)=n−t for [Formula presented] are characterized, respectively. In the end, we get the three extremal results for the g-good-neighbor connectivity.

Original language	English
Pages (from-to)	139-148
Number of pages	10
Journal	Theoretical Computer Science
Volume	804
DOIs	https://doi.org/10.1016/j.tcs.2019.11.021
Publication status	Published - 2020 Jan 12

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All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Cite this

Wang, Z., Mao, Y., Hsieh, S. Y., & Wu, J. (2020). On the g-good-neighbor connectivity of graphs. Theoretical Computer Science, 804, 139-148. https://doi.org/10.1016/j.tcs.2019.11.021

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author = "Zhao Wang and Yaping Mao and Hsieh, {Sun Yuan} and Jichang Wu",

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10.1016/j.tcs.2019.11.021