Abstract

For a given graph [Formula: see text], denote by [Formula: see text] and [Formula: see text] the order of the largest component and the number of connected components of [Formula: see text], respectively. The scattering number of [Formula: see text] is defined as [Formula: see text]. The tenacity of [Formula: see text] is defined as [Formula: see text]. These two theoretical parameters are important combinatorial parameters for measuring the vulnerability of networks. In this paper, we determine the scattering number and tenacity of [Formula: see text]-uniform linear hypergraph [Formula: see text].

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