ABSTRACT
There are some attacks on the network, such as botnet attack, DDoS attack and Local Area Network Denial attack, which are attacked on certain group of clustered nodes in the network. At present, the existing connectivity has certain defects in reflecting the fault-tolerant ability of the network under these network attacks. To measure the fault tolerance and reliability of a network which is attacked on certain group of clustered nodes in the network by attackers, we propose the r-component block connectivity. A subset is called a r-component block cut of a graph G if G−F is disconnected, moreover G−F has at least r components and the subgraph induced by F is connected. The cardinality of a minimum r-component block cut of G, denoted by
, is the r-component block connectivity of G. In this paper, we obtain
and
for
and
, where
is a n-dimension hypercube.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Data availability
The data used to support the findings of this study are available from the corresponding author upon request.